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Simplifying 8(-3x + 2) + -5(7x + -3) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) Reorder the terms: 8(2 + -3x) + -5(7x + -3) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) (2 * 8 + -3x * 8) + -5(7x + -3) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) (16 + -24x) + -5(7x + -3) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) Reorder the terms: 16 + -24x + -5(-3 + 7x) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) 16 + -24x + (-3 * -5 + 7x * -5) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) 16 + -24x + (15 + -35x) + 9(4 + -2x) = -3(-2x + -11) + 8(5x + -9) 16 + -24x + 15 + -35x + (4 * 9 + -2x * 9) = -3(-2x + -11) + 8(5x + -9) 16 + -24x + 15 + -35x + (36 + -18x) = -3(-2x + -11) + 8(5x + -9) Reorder the terms: 16 + 15 + 36 + -24x + -35x + -18x = -3(-2x + -11) + 8(5x + -9) Combine like terms: 16 + 15 = 31 31 + 36 + -24x + -35x + -18x = -3(-2x + -11) + 8(5x + -9) Combine like terms: 31 + 36 = 67 67 + -24x + -35x + -18x = -3(-2x + -11) + 8(5x + -9) Combine like terms: -24x + -35x = -59x 67 + -59x + -18x = -3(-2x + -11) + 8(5x + -9) Combine like terms: -59x + -18x = -77x 67 + -77x = -3(-2x + -11) + 8(5x + -9) Reorder the terms: 67 + -77x = -3(-11 + -2x) + 8(5x + -9) 67 + -77x = (-11 * -3 + -2x * -3) + 8(5x + -9) 67 + -77x = (33 + 6x) + 8(5x + -9) Reorder the terms: 67 + -77x = 33 + 6x + 8(-9 + 5x) 67 + -77x = 33 + 6x + (-9 * 8 + 5x * 8) 67 + -77x = 33 + 6x + (-72 + 40x) Reorder the terms: 67 + -77x = 33 + -72 + 6x + 40x Combine like terms: 33 + -72 = -39 67 + -77x = -39 + 6x + 40x Combine like terms: 6x + 40x = 46x 67 + -77x = -39 + 46x Solving 67 + -77x = -39 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 67 + -77x + -46x = -39 + 46x + -46x Combine like terms: -77x + -46x = -123x 67 + -123x = -39 + 46x + -46x Combine like terms: 46x + -46x = 0 67 + -123x = -39 + 0 67 + -123x = -39 Add '-67' to each side of the equation. 67 + -67 + -123x = -39 + -67 Combine like terms: 67 + -67 = 0 0 + -123x = -39 + -67 -123x = -39 + -67 Combine like terms: -39 + -67 = -106 -123x = -106 Divide each side by '-123'. x = 0.8617886179 Simplifying x = 0.8617886179
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