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Simplifying 7(1 + -1x) = 5(1 + 2x) + 5 (1 * 7 + -1x * 7) = 5(1 + 2x) + 5 (7 + -7x) = 5(1 + 2x) + 5 7 + -7x = (1 * 5 + 2x * 5) + 5 7 + -7x = (5 + 10x) + 5 Reorder the terms: 7 + -7x = 5 + 5 + 10x Combine like terms: 5 + 5 = 10 7 + -7x = 10 + 10x Solving 7 + -7x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + -7x + -10x = 10 + 10x + -10x Combine like terms: -7x + -10x = -17x 7 + -17x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -17x = 10 + 0 7 + -17x = 10 Add '-7' to each side of the equation. 7 + -7 + -17x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = 10 + -7 -17x = 10 + -7 Combine like terms: 10 + -7 = 3 -17x = 3 Divide each side by '-17'. x = -0.1764705882 Simplifying x = -0.1764705882
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