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Simplifying 2(3x + -9) + -2 = 2(x + -4) + 20 Reorder the terms: 2(-9 + 3x) + -2 = 2(x + -4) + 20 (-9 * 2 + 3x * 2) + -2 = 2(x + -4) + 20 (-18 + 6x) + -2 = 2(x + -4) + 20 Reorder the terms: -18 + -2 + 6x = 2(x + -4) + 20 Combine like terms: -18 + -2 = -20 -20 + 6x = 2(x + -4) + 20 Reorder the terms: -20 + 6x = 2(-4 + x) + 20 -20 + 6x = (-4 * 2 + x * 2) + 20 -20 + 6x = (-8 + 2x) + 20 Reorder the terms: -20 + 6x = -8 + 20 + 2x Combine like terms: -8 + 20 = 12 -20 + 6x = 12 + 2x Solving -20 + 6x = 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 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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