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Simplifying 5(x + 2) = 3(2 + -1x) + -17 Reorder the terms: 5(2 + x) = 3(2 + -1x) + -17 (2 * 5 + x * 5) = 3(2 + -1x) + -17 (10 + 5x) = 3(2 + -1x) + -17 10 + 5x = (2 * 3 + -1x * 3) + -17 10 + 5x = (6 + -3x) + -17 Reorder the terms: 10 + 5x = 6 + -17 + -3x Combine like terms: 6 + -17 = -11 10 + 5x = -11 + -3x Solving 10 + 5x = -11 + -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. 10 + 5x + 3x = -11 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = -11 + 0 10 + 8x = -11 Add '-10' to each side of the equation. 10 + -10 + 8x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -11 + -10 8x = -11 + -10 Combine like terms: -11 + -10 = -21 8x = -21 Divide each side by '8'. x = -2.625 Simplifying x = -2.625
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