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Simplifying -3(x + 2) + 5 = 5(x + 5) + 2 Reorder the terms: -3(2 + x) + 5 = 5(x + 5) + 2 (2 * -3 + x * -3) + 5 = 5(x + 5) + 2 (-6 + -3x) + 5 = 5(x + 5) + 2 Reorder the terms: -6 + 5 + -3x = 5(x + 5) + 2 Combine like terms: -6 + 5 = -1 -1 + -3x = 5(x + 5) + 2 Reorder the terms: -1 + -3x = 5(5 + x) + 2 -1 + -3x = (5 * 5 + x * 5) + 2 -1 + -3x = (25 + 5x) + 2 Reorder the terms: -1 + -3x = 25 + 2 + 5x Combine like terms: 25 + 2 = 27 -1 + -3x = 27 + 5x Solving -1 + -3x = 27 + 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 = 27 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 27 + 0 -1 + -8x = 27 Add '1' to each side of the equation. -1 + 1 + -8x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 27 + 1 -8x = 27 + 1 Combine like terms: 27 + 1 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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