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Simplifying 4(x + -2) = 4 + 2(x + -1) Reorder the terms: 4(-2 + x) = 4 + 2(x + -1) (-2 * 4 + x * 4) = 4 + 2(x + -1) (-8 + 4x) = 4 + 2(x + -1) Reorder the terms: -8 + 4x = 4 + 2(-1 + x) -8 + 4x = 4 + (-1 * 2 + x * 2) -8 + 4x = 4 + (-2 + 2x) Combine like terms: 4 + -2 = 2 -8 + 4x = 2 + 2x Solving -8 + 4x = 2 + 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 = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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