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Simplifying 3(x + -1) = 5(3x + -2) Reorder the terms: 3(-1 + x) = 5(3x + -2) (-1 * 3 + x * 3) = 5(3x + -2) (-3 + 3x) = 5(3x + -2) Reorder the terms: -3 + 3x = 5(-2 + 3x) -3 + 3x = (-2 * 5 + 3x * 5) -3 + 3x = (-10 + 15x) Solving -3 + 3x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 3x + -15x = -10 + 15x + -15x Combine like terms: 3x + -15x = -12x -3 + -12x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -12x = -10 + 0 -3 + -12x = -10 Add '3' to each side of the equation. -3 + 3 + -12x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -10 + 3 -12x = -10 + 3 Combine like terms: -10 + 3 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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