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Simplifying -2(x + 3) + 5 = 3(x + 2) + 6 Reorder the terms: -2(3 + x) + 5 = 3(x + 2) + 6 (3 * -2 + x * -2) + 5 = 3(x + 2) + 6 (-6 + -2x) + 5 = 3(x + 2) + 6 Reorder the terms: -6 + 5 + -2x = 3(x + 2) + 6 Combine like terms: -6 + 5 = -1 -1 + -2x = 3(x + 2) + 6 Reorder the terms: -1 + -2x = 3(2 + x) + 6 -1 + -2x = (2 * 3 + x * 3) + 6 -1 + -2x = (6 + 3x) + 6 Reorder the terms: -1 + -2x = 6 + 6 + 3x Combine like terms: 6 + 6 = 12 -1 + -2x = 12 + 3x Solving -1 + -2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 12 + 0 -1 + -5x = 12 Add '1' to each side of the equation. -1 + 1 + -5x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 12 + 1 -5x = 12 + 1 Combine like terms: 12 + 1 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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