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Simplifying -2(x + 1) + 2(x + -3) = x + 4 Reorder the terms: -2(1 + x) + 2(x + -3) = x + 4 (1 * -2 + x * -2) + 2(x + -3) = x + 4 (-2 + -2x) + 2(x + -3) = x + 4 Reorder the terms: -2 + -2x + 2(-3 + x) = x + 4 -2 + -2x + (-3 * 2 + x * 2) = x + 4 -2 + -2x + (-6 + 2x) = x + 4 Reorder the terms: -2 + -6 + -2x + 2x = x + 4 Combine like terms: -2 + -6 = -8 -8 + -2x + 2x = x + 4 Combine like terms: -2x + 2x = 0 -8 + 0 = x + 4 -8 = x + 4 Reorder the terms: -8 = 4 + x Solving -8 = 4 + x 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. -8 + -1x = 4 + x + -1x Combine like terms: x + -1x = 0 -8 + -1x = 4 + 0 -8 + -1x = 4 Add '8' to each side of the equation. -8 + 8 + -1x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 4 + 8 -1x = 4 + 8 Combine like terms: 4 + 8 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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