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Simplifying 2(x + -5) + -4x = 2(x + 5) Reorder the terms: 2(-5 + x) + -4x = 2(x + 5) (-5 * 2 + x * 2) + -4x = 2(x + 5) (-10 + 2x) + -4x = 2(x + 5) Combine like terms: 2x + -4x = -2x -10 + -2x = 2(x + 5) Reorder the terms: -10 + -2x = 2(5 + x) -10 + -2x = (5 * 2 + x * 2) -10 + -2x = (10 + 2x) Solving -10 + -2x = 10 + 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. -10 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = 10 + 0 -10 + -4x = 10 Add '10' to each side of the equation. -10 + 10 + -4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 10 + 10 -4x = 10 + 10 Combine like terms: 10 + 10 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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