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Simplifying -2(x + 4) + 2(2x + 2) = -1x + -7 Reorder the terms: -2(4 + x) + 2(2x + 2) = -1x + -7 (4 * -2 + x * -2) + 2(2x + 2) = -1x + -7 (-8 + -2x) + 2(2x + 2) = -1x + -7 Reorder the terms: -8 + -2x + 2(2 + 2x) = -1x + -7 -8 + -2x + (2 * 2 + 2x * 2) = -1x + -7 -8 + -2x + (4 + 4x) = -1x + -7 Reorder the terms: -8 + 4 + -2x + 4x = -1x + -7 Combine like terms: -8 + 4 = -4 -4 + -2x + 4x = -1x + -7 Combine like terms: -2x + 4x = 2x -4 + 2x = -1x + -7 Reorder the terms: -4 + 2x = -7 + -1x Solving -4 + 2x = -7 + -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. -4 + 2x + x = -7 + -1x + x Combine like terms: 2x + x = 3x -4 + 3x = -7 + -1x + x Combine like terms: -1x + x = 0 -4 + 3x = -7 + 0 -4 + 3x = -7 Add '4' to each side of the equation. -4 + 4 + 3x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -7 + 4 3x = -7 + 4 Combine like terms: -7 + 4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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