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Simplifying -1(8x + -9) + -4 + 6x = 3(x + 5) Reorder the terms: -1(-9 + 8x) + -4 + 6x = 3(x + 5) (-9 * -1 + 8x * -1) + -4 + 6x = 3(x + 5) (9 + -8x) + -4 + 6x = 3(x + 5) Reorder the terms: 9 + -4 + -8x + 6x = 3(x + 5) Combine like terms: 9 + -4 = 5 5 + -8x + 6x = 3(x + 5) Combine like terms: -8x + 6x = -2x 5 + -2x = 3(x + 5) Reorder the terms: 5 + -2x = 3(5 + x) 5 + -2x = (5 * 3 + x * 3) 5 + -2x = (15 + 3x) Solving 5 + -2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -2x + -3x = 15 + 3x + -3x Combine like terms: -2x + -3x = -5x 5 + -5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -5x = 15 + 0 5 + -5x = 15 Add '-5' to each side of the equation. 5 + -5 + -5x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 15 + -5 -5x = 15 + -5 Combine like terms: 15 + -5 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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