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Simplifying -3(x + 2) + 3 = 5(x + -1) + 10 Reorder the terms: -3(2 + x) + 3 = 5(x + -1) + 10 (2 * -3 + x * -3) + 3 = 5(x + -1) + 10 (-6 + -3x) + 3 = 5(x + -1) + 10 Reorder the terms: -6 + 3 + -3x = 5(x + -1) + 10 Combine like terms: -6 + 3 = -3 -3 + -3x = 5(x + -1) + 10 Reorder the terms: -3 + -3x = 5(-1 + x) + 10 -3 + -3x = (-1 * 5 + x * 5) + 10 -3 + -3x = (-5 + 5x) + 10 Reorder the terms: -3 + -3x = -5 + 10 + 5x Combine like terms: -5 + 10 = 5 -3 + -3x = 5 + 5x Solving -3 + -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. -3 + -3x + -5x = 5 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 5 + 0 -3 + -8x = 5 Add '3' to each side of the equation. -3 + 3 + -8x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 5 + 3 -8x = 5 + 3 Combine like terms: 5 + 3 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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