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Simplifying 4(x + -2) = 2(x + 10) Reorder the terms: 4(-2 + x) = 2(x + 10) (-2 * 4 + x * 4) = 2(x + 10) (-8 + 4x) = 2(x + 10) Reorder the terms: -8 + 4x = 2(10 + x) -8 + 4x = (10 * 2 + x * 2) -8 + 4x = (20 + 2x) Solving -8 + 4x = 20 + 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 = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 20 + 0 -8 + 2x = 20 Add '8' to each side of the equation. -8 + 8 + 2x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 20 + 8 2x = 20 + 8 Combine like terms: 20 + 8 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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