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