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Simplifying 3(x + -3) = 5(x + -1) + -8 Reorder the terms: 3(-3 + x) = 5(x + -1) + -8 (-3 * 3 + x * 3) = 5(x + -1) + -8 (-9 + 3x) = 5(x + -1) + -8 Reorder the terms: -9 + 3x = 5(-1 + x) + -8 -9 + 3x = (-1 * 5 + x * 5) + -8 -9 + 3x = (-5 + 5x) + -8 Reorder the terms: -9 + 3x = -5 + -8 + 5x Combine like terms: -5 + -8 = -13 -9 + 3x = -13 + 5x Solving -9 + 3x = -13 + 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 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x -9 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -2x = -13 + 0 -9 + -2x = -13 Add '9' to each side of the equation. -9 + 9 + -2x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -13 + 9 -2x = -13 + 9 Combine like terms: -13 + 9 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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