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Simplifying 3(x + -2) + -1 = 5(x + -1) Reorder the terms: 3(-2 + x) + -1 = 5(x + -1) (-2 * 3 + x * 3) + -1 = 5(x + -1) (-6 + 3x) + -1 = 5(x + -1) Reorder the terms: -6 + -1 + 3x = 5(x + -1) Combine like terms: -6 + -1 = -7 -7 + 3x = 5(x + -1) Reorder the terms: -7 + 3x = 5(-1 + x) -7 + 3x = (-1 * 5 + x * 5) -7 + 3x = (-5 + 5x) Solving -7 + 3x = -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. -7 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x -7 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -2x = -5 + 0 -7 + -2x = -5 Add '7' to each side of the equation. -7 + 7 + -2x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -5 + 7 -2x = -5 + 7 Combine like terms: -5 + 7 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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