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Simplifying 2(4x + -9) + -1(x + -4) = 3x + -2(x + -8) Reorder the terms: 2(-9 + 4x) + -1(x + -4) = 3x + -2(x + -8) (-9 * 2 + 4x * 2) + -1(x + -4) = 3x + -2(x + -8) (-18 + 8x) + -1(x + -4) = 3x + -2(x + -8) Reorder the terms: -18 + 8x + -1(-4 + x) = 3x + -2(x + -8) -18 + 8x + (-4 * -1 + x * -1) = 3x + -2(x + -8) -18 + 8x + (4 + -1x) = 3x + -2(x + -8) Reorder the terms: -18 + 4 + 8x + -1x = 3x + -2(x + -8) Combine like terms: -18 + 4 = -14 -14 + 8x + -1x = 3x + -2(x + -8) Combine like terms: 8x + -1x = 7x -14 + 7x = 3x + -2(x + -8) Reorder the terms: -14 + 7x = 3x + -2(-8 + x) -14 + 7x = 3x + (-8 * -2 + x * -2) -14 + 7x = 3x + (16 + -2x) Reorder the terms: -14 + 7x = 16 + 3x + -2x Combine like terms: 3x + -2x = 1x -14 + 7x = 16 + 1x Solving -14 + 7x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 7x + -1x = 16 + 1x + -1x Combine like terms: 7x + -1x = 6x -14 + 6x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 6x = 16 + 0 -14 + 6x = 16 Add '14' to each side of the equation. -14 + 14 + 6x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 16 + 14 6x = 16 + 14 Combine like terms: 16 + 14 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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