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Simplifying 2(x + -5) = 4(2 + -1x) Reorder the terms: 2(-5 + x) = 4(2 + -1x) (-5 * 2 + x * 2) = 4(2 + -1x) (-10 + 2x) = 4(2 + -1x) -10 + 2x = (2 * 4 + -1x * 4) -10 + 2x = (8 + -4x) Solving -10 + 2x = 8 + -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. -10 + 2x + 4x = 8 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = 8 + 0 -10 + 6x = 8 Add '10' to each side of the equation. -10 + 10 + 6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 8 + 10 6x = 8 + 10 Combine like terms: 8 + 10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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