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Simplifying 6(4x + -3) + 2(17 + -4x) = 5(3x + 3) + -4 Reorder the terms: 6(-3 + 4x) + 2(17 + -4x) = 5(3x + 3) + -4 (-3 * 6 + 4x * 6) + 2(17 + -4x) = 5(3x + 3) + -4 (-18 + 24x) + 2(17 + -4x) = 5(3x + 3) + -4 -18 + 24x + (17 * 2 + -4x * 2) = 5(3x + 3) + -4 -18 + 24x + (34 + -8x) = 5(3x + 3) + -4 Reorder the terms: -18 + 34 + 24x + -8x = 5(3x + 3) + -4 Combine like terms: -18 + 34 = 16 16 + 24x + -8x = 5(3x + 3) + -4 Combine like terms: 24x + -8x = 16x 16 + 16x = 5(3x + 3) + -4 Reorder the terms: 16 + 16x = 5(3 + 3x) + -4 16 + 16x = (3 * 5 + 3x * 5) + -4 16 + 16x = (15 + 15x) + -4 Reorder the terms: 16 + 16x = 15 + -4 + 15x Combine like terms: 15 + -4 = 11 16 + 16x = 11 + 15x Solving 16 + 16x = 11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 16x + -15x = 11 + 15x + -15x Combine like terms: 16x + -15x = 1x 16 + 1x = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 1x = 11 + 0 16 + 1x = 11 Add '-16' to each side of the equation. 16 + -16 + 1x = 11 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 11 + -16 1x = 11 + -16 Combine like terms: 11 + -16 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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