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Simplifying 3(x + 5) = 7(1 + -2x) Reorder the terms: 3(5 + x) = 7(1 + -2x) (5 * 3 + x * 3) = 7(1 + -2x) (15 + 3x) = 7(1 + -2x) 15 + 3x = (1 * 7 + -2x * 7) 15 + 3x = (7 + -14x) Solving 15 + 3x = 7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 15 + 3x + 14x = 7 + -14x + 14x Combine like terms: 3x + 14x = 17x 15 + 17x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 15 + 17x = 7 + 0 15 + 17x = 7 Add '-15' to each side of the equation. 15 + -15 + 17x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 7 + -15 17x = 7 + -15 Combine like terms: 7 + -15 = -8 17x = -8 Divide each side by '17'. x = -0.4705882353 Simplifying x = -0.4705882353
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