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Simplifying 2(x + -1) = 4(7 + -1x) Reorder the terms: 2(-1 + x) = 4(7 + -1x) (-1 * 2 + x * 2) = 4(7 + -1x) (-2 + 2x) = 4(7 + -1x) -2 + 2x = (7 * 4 + -1x * 4) -2 + 2x = (28 + -4x) Solving -2 + 2x = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 2x + 4x = 28 + -4x + 4x Combine like terms: 2x + 4x = 6x -2 + 6x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 6x = 28 + 0 -2 + 6x = 28 Add '2' to each side of the equation. -2 + 2 + 6x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 28 + 2 6x = 28 + 2 Combine like terms: 28 + 2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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