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Simplifying -3(x + 2) + 5 = 5(x + 2) + 8 Reorder the terms: -3(2 + x) + 5 = 5(x + 2) + 8 (2 * -3 + x * -3) + 5 = 5(x + 2) + 8 (-6 + -3x) + 5 = 5(x + 2) + 8 Reorder the terms: -6 + 5 + -3x = 5(x + 2) + 8 Combine like terms: -6 + 5 = -1 -1 + -3x = 5(x + 2) + 8 Reorder the terms: -1 + -3x = 5(2 + x) + 8 -1 + -3x = (2 * 5 + x * 5) + 8 -1 + -3x = (10 + 5x) + 8 Reorder the terms: -1 + -3x = 10 + 8 + 5x Combine like terms: 10 + 8 = 18 -1 + -3x = 18 + 5x Solving -1 + -3x = 18 + 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. -1 + -3x + -5x = 18 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 18 + 0 -1 + -8x = 18 Add '1' to each side of the equation. -1 + 1 + -8x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 18 + 1 -8x = 18 + 1 Combine like terms: 18 + 1 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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