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