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Simplifying 7 + 2(1 + -1x) = 5 + -2(3 + -4x) 7 + (1 * 2 + -1x * 2) = 5 + -2(3 + -4x) 7 + (2 + -2x) = 5 + -2(3 + -4x) Combine like terms: 7 + 2 = 9 9 + -2x = 5 + -2(3 + -4x) 9 + -2x = 5 + (3 * -2 + -4x * -2) 9 + -2x = 5 + (-6 + 8x) Combine like terms: 5 + -6 = -1 9 + -2x = -1 + 8x Solving 9 + -2x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + -2x + -8x = -1 + 8x + -8x Combine like terms: -2x + -8x = -10x 9 + -10x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -10x = -1 + 0 9 + -10x = -1 Add '-9' to each side of the equation. 9 + -9 + -10x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -1 + -9 -10x = -1 + -9 Combine like terms: -1 + -9 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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