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Simplifying 5(2 + -1x) + 7 = -3(x + 5) (2 * 5 + -1x * 5) + 7 = -3(x + 5) (10 + -5x) + 7 = -3(x + 5) Reorder the terms: 10 + 7 + -5x = -3(x + 5) Combine like terms: 10 + 7 = 17 17 + -5x = -3(x + 5) Reorder the terms: 17 + -5x = -3(5 + x) 17 + -5x = (5 * -3 + x * -3) 17 + -5x = (-15 + -3x) Solving 17 + -5x = -15 + -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. 17 + -5x + 3x = -15 + -3x + 3x Combine like terms: -5x + 3x = -2x 17 + -2x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + -2x = -15 + 0 17 + -2x = -15 Add '-17' to each side of the equation. 17 + -17 + -2x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -15 + -17 -2x = -15 + -17 Combine like terms: -15 + -17 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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