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