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Simplifying 2(2x + -9) + -2 = 2(x + -4) + -4 Reorder the terms: 2(-9 + 2x) + -2 = 2(x + -4) + -4 (-9 * 2 + 2x * 2) + -2 = 2(x + -4) + -4 (-18 + 4x) + -2 = 2(x + -4) + -4 Reorder the terms: -18 + -2 + 4x = 2(x + -4) + -4 Combine like terms: -18 + -2 = -20 -20 + 4x = 2(x + -4) + -4 Reorder the terms: -20 + 4x = 2(-4 + x) + -4 -20 + 4x = (-4 * 2 + x * 2) + -4 -20 + 4x = (-8 + 2x) + -4 Reorder the terms: -20 + 4x = -8 + -4 + 2x Combine like terms: -8 + -4 = -12 -20 + 4x = -12 + 2x Solving -20 + 4x = -12 + 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. -20 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x -20 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 2x = -12 + 0 -20 + 2x = -12 Add '20' to each side of the equation. -20 + 20 + 2x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -12 + 20 2x = -12 + 20 Combine like terms: -12 + 20 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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