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Simplifying 9x + -3(3 + -2x) = 5(x + -4) + -29 9x + (3 * -3 + -2x * -3) = 5(x + -4) + -29 9x + (-9 + 6x) = 5(x + -4) + -29 Reorder the terms: -9 + 9x + 6x = 5(x + -4) + -29 Combine like terms: 9x + 6x = 15x -9 + 15x = 5(x + -4) + -29 Reorder the terms: -9 + 15x = 5(-4 + x) + -29 -9 + 15x = (-4 * 5 + x * 5) + -29 -9 + 15x = (-20 + 5x) + -29 Reorder the terms: -9 + 15x = -20 + -29 + 5x Combine like terms: -20 + -29 = -49 -9 + 15x = -49 + 5x Solving -9 + 15x = -49 + 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. -9 + 15x + -5x = -49 + 5x + -5x Combine like terms: 15x + -5x = 10x -9 + 10x = -49 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 10x = -49 + 0 -9 + 10x = -49 Add '9' to each side of the equation. -9 + 9 + 10x = -49 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -49 + 9 10x = -49 + 9 Combine like terms: -49 + 9 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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