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Simplifying 3(3x + -5) = 5(x + -1) Reorder the terms: 3(-5 + 3x) = 5(x + -1) (-5 * 3 + 3x * 3) = 5(x + -1) (-15 + 9x) = 5(x + -1) Reorder the terms: -15 + 9x = 5(-1 + x) -15 + 9x = (-1 * 5 + x * 5) -15 + 9x = (-5 + 5x) Solving -15 + 9x = -5 + 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. -15 + 9x + -5x = -5 + 5x + -5x Combine like terms: 9x + -5x = 4x -15 + 4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 4x = -5 + 0 -15 + 4x = -5 Add '15' to each side of the equation. -15 + 15 + 4x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -5 + 15 4x = -5 + 15 Combine like terms: -5 + 15 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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