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Simplifying -3(x + 5) + 3 = 5(x + 3) + 2 Reorder the terms: -3(5 + x) + 3 = 5(x + 3) + 2 (5 * -3 + x * -3) + 3 = 5(x + 3) + 2 (-15 + -3x) + 3 = 5(x + 3) + 2 Reorder the terms: -15 + 3 + -3x = 5(x + 3) + 2 Combine like terms: -15 + 3 = -12 -12 + -3x = 5(x + 3) + 2 Reorder the terms: -12 + -3x = 5(3 + x) + 2 -12 + -3x = (3 * 5 + x * 5) + 2 -12 + -3x = (15 + 5x) + 2 Reorder the terms: -12 + -3x = 15 + 2 + 5x Combine like terms: 15 + 2 = 17 -12 + -3x = 17 + 5x Solving -12 + -3x = 17 + 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. -12 + -3x + -5x = 17 + 5x + -5x Combine like terms: -3x + -5x = -8x -12 + -8x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -8x = 17 + 0 -12 + -8x = 17 Add '12' to each side of the equation. -12 + 12 + -8x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 17 + 12 -8x = 17 + 12 Combine like terms: 17 + 12 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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