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Simplifying -9(x + 1) + 5(3x + -5) = 5(x + -5) + 13 Reorder the terms: -9(1 + x) + 5(3x + -5) = 5(x + -5) + 13 (1 * -9 + x * -9) + 5(3x + -5) = 5(x + -5) + 13 (-9 + -9x) + 5(3x + -5) = 5(x + -5) + 13 Reorder the terms: -9 + -9x + 5(-5 + 3x) = 5(x + -5) + 13 -9 + -9x + (-5 * 5 + 3x * 5) = 5(x + -5) + 13 -9 + -9x + (-25 + 15x) = 5(x + -5) + 13 Reorder the terms: -9 + -25 + -9x + 15x = 5(x + -5) + 13 Combine like terms: -9 + -25 = -34 -34 + -9x + 15x = 5(x + -5) + 13 Combine like terms: -9x + 15x = 6x -34 + 6x = 5(x + -5) + 13 Reorder the terms: -34 + 6x = 5(-5 + x) + 13 -34 + 6x = (-5 * 5 + x * 5) + 13 -34 + 6x = (-25 + 5x) + 13 Reorder the terms: -34 + 6x = -25 + 13 + 5x Combine like terms: -25 + 13 = -12 -34 + 6x = -12 + 5x Solving -34 + 6x = -12 + 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. -34 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -34 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 1x = -12 + 0 -34 + 1x = -12 Add '34' to each side of the equation. -34 + 34 + 1x = -12 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -12 + 34 1x = -12 + 34 Combine like terms: -12 + 34 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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