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Simplifying -2(x + 3) + 5 = 3(x + 5) + 5 Reorder the terms: -2(3 + x) + 5 = 3(x + 5) + 5 (3 * -2 + x * -2) + 5 = 3(x + 5) + 5 (-6 + -2x) + 5 = 3(x + 5) + 5 Reorder the terms: -6 + 5 + -2x = 3(x + 5) + 5 Combine like terms: -6 + 5 = -1 -1 + -2x = 3(x + 5) + 5 Reorder the terms: -1 + -2x = 3(5 + x) + 5 -1 + -2x = (5 * 3 + x * 3) + 5 -1 + -2x = (15 + 3x) + 5 Reorder the terms: -1 + -2x = 15 + 5 + 3x Combine like terms: 15 + 5 = 20 -1 + -2x = 20 + 3x Solving -1 + -2x = 20 + 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 = 20 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 20 + 0 -1 + -5x = 20 Add '1' to each side of the equation. -1 + 1 + -5x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 20 + 1 -5x = 20 + 1 Combine like terms: 20 + 1 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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