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