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Simplifying 2(x + -1) = 4 + -1(x + -7) Reorder the terms: 2(-1 + x) = 4 + -1(x + -7) (-1 * 2 + x * 2) = 4 + -1(x + -7) (-2 + 2x) = 4 + -1(x + -7) Reorder the terms: -2 + 2x = 4 + -1(-7 + x) -2 + 2x = 4 + (-7 * -1 + x * -1) -2 + 2x = 4 + (7 + -1x) Combine like terms: 4 + 7 = 11 -2 + 2x = 11 + -1x Solving -2 + 2x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 2x + x = 11 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = 11 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = 11 + 0 -2 + 3x = 11 Add '2' to each side of the equation. -2 + 2 + 3x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 11 + 2 3x = 11 + 2 Combine like terms: 11 + 2 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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