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Simplifying 4x + -2(x + -2) = -8 + 4x + -2 Reorder the terms: 4x + -2(-2 + x) = -8 + 4x + -2 4x + (-2 * -2 + x * -2) = -8 + 4x + -2 4x + (4 + -2x) = -8 + 4x + -2 Reorder the terms: 4 + 4x + -2x = -8 + 4x + -2 Combine like terms: 4x + -2x = 2x 4 + 2x = -8 + 4x + -2 Reorder the terms: 4 + 2x = -8 + -2 + 4x Combine like terms: -8 + -2 = -10 4 + 2x = -10 + 4x Solving 4 + 2x = -10 + 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. 4 + 2x + -4x = -10 + 4x + -4x Combine like terms: 2x + -4x = -2x 4 + -2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -2x = -10 + 0 4 + -2x = -10 Add '-4' to each side of the equation. 4 + -4 + -2x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -10 + -4 -2x = -10 + -4 Combine like terms: -10 + -4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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