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