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Simplifying 2(4x + -2) = 2(x + 1) Reorder the terms: 2(-2 + 4x) = 2(x + 1) (-2 * 2 + 4x * 2) = 2(x + 1) (-4 + 8x) = 2(x + 1) Reorder the terms: -4 + 8x = 2(1 + x) -4 + 8x = (1 * 2 + x * 2) -4 + 8x = (2 + 2x) Solving -4 + 8x = 2 + 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. -4 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x -4 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 6x = 2 + 0 -4 + 6x = 2 Add '4' to each side of the equation. -4 + 4 + 6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 2 + 4 6x = 2 + 4 Combine like terms: 2 + 4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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