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Simplifying 4x + -1(2(3x + -4) + 2x + -9) = 5x + 8 Reorder the terms: 4x + -1(2(-4 + 3x) + 2x + -9) = 5x + 8 4x + -1((-4 * 2 + 3x * 2) + 2x + -9) = 5x + 8 4x + -1((-8 + 6x) + 2x + -9) = 5x + 8 Reorder the terms: 4x + -1(-8 + -9 + 6x + 2x) = 5x + 8 Combine like terms: -8 + -9 = -17 4x + -1(-17 + 6x + 2x) = 5x + 8 Combine like terms: 6x + 2x = 8x 4x + -1(-17 + 8x) = 5x + 8 4x + (-17 * -1 + 8x * -1) = 5x + 8 4x + (17 + -8x) = 5x + 8 Reorder the terms: 17 + 4x + -8x = 5x + 8 Combine like terms: 4x + -8x = -4x 17 + -4x = 5x + 8 Reorder the terms: 17 + -4x = 8 + 5x Solving 17 + -4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 17 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -9x = 8 + 0 17 + -9x = 8 Add '-17' to each side of the equation. 17 + -17 + -9x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = 8 + -17 -9x = 8 + -17 Combine like terms: 8 + -17 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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