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Simplifying 6x + -2(x + -1) = x + -1(7 + -1x) Reorder the terms: 6x + -2(-1 + x) = x + -1(7 + -1x) 6x + (-1 * -2 + x * -2) = x + -1(7 + -1x) 6x + (2 + -2x) = x + -1(7 + -1x) Reorder the terms: 2 + 6x + -2x = x + -1(7 + -1x) Combine like terms: 6x + -2x = 4x 2 + 4x = x + -1(7 + -1x) 2 + 4x = x + (7 * -1 + -1x * -1) 2 + 4x = x + (-7 + 1x) Reorder the terms: 2 + 4x = -7 + x + 1x Combine like terms: x + 1x = 2x 2 + 4x = -7 + 2x Solving 2 + 4x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = -7 + 0 2 + 2x = -7 Add '-2' to each side of the equation. 2 + -2 + 2x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -7 + -2 2x = -7 + -2 Combine like terms: -7 + -2 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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