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Simplifying -2(x + 2) + 6 = 3(x + 3) + 5 Reorder the terms: -2(2 + x) + 6 = 3(x + 3) + 5 (2 * -2 + x * -2) + 6 = 3(x + 3) + 5 (-4 + -2x) + 6 = 3(x + 3) + 5 Reorder the terms: -4 + 6 + -2x = 3(x + 3) + 5 Combine like terms: -4 + 6 = 2 2 + -2x = 3(x + 3) + 5 Reorder the terms: 2 + -2x = 3(3 + x) + 5 2 + -2x = (3 * 3 + x * 3) + 5 2 + -2x = (9 + 3x) + 5 Reorder the terms: 2 + -2x = 9 + 5 + 3x Combine like terms: 9 + 5 = 14 2 + -2x = 14 + 3x Solving 2 + -2x = 14 + 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. 2 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x 2 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -5x = 14 + 0 2 + -5x = 14 Add '-2' to each side of the equation. 2 + -2 + -5x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 14 + -2 -5x = 14 + -2 Combine like terms: 14 + -2 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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