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Simplifying 2x + 2 + -4(-4x + -3) = 2(x + -2) Reorder the terms: 2x + 2 + -4(-3 + -4x) = 2(x + -2) 2x + 2 + (-3 * -4 + -4x * -4) = 2(x + -2) 2x + 2 + (12 + 16x) = 2(x + -2) Reorder the terms: 2 + 12 + 2x + 16x = 2(x + -2) Combine like terms: 2 + 12 = 14 14 + 2x + 16x = 2(x + -2) Combine like terms: 2x + 16x = 18x 14 + 18x = 2(x + -2) Reorder the terms: 14 + 18x = 2(-2 + x) 14 + 18x = (-2 * 2 + x * 2) 14 + 18x = (-4 + 2x) Solving 14 + 18x = -4 + 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. 14 + 18x + -2x = -4 + 2x + -2x Combine like terms: 18x + -2x = 16x 14 + 16x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 16x = -4 + 0 14 + 16x = -4 Add '-14' to each side of the equation. 14 + -14 + 16x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = -4 + -14 16x = -4 + -14 Combine like terms: -4 + -14 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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