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Simplifying 2(3x + -9) + -2 = 2(x + -2) + 8 Reorder the terms: 2(-9 + 3x) + -2 = 2(x + -2) + 8 (-9 * 2 + 3x * 2) + -2 = 2(x + -2) + 8 (-18 + 6x) + -2 = 2(x + -2) + 8 Reorder the terms: -18 + -2 + 6x = 2(x + -2) + 8 Combine like terms: -18 + -2 = -20 -20 + 6x = 2(x + -2) + 8 Reorder the terms: -20 + 6x = 2(-2 + x) + 8 -20 + 6x = (-2 * 2 + x * 2) + 8 -20 + 6x = (-4 + 2x) + 8 Reorder the terms: -20 + 6x = -4 + 8 + 2x Combine like terms: -4 + 8 = 4 -20 + 6x = 4 + 2x Solving -20 + 6x = 4 + 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 = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = 4 + 0 -20 + 4x = 4 Add '20' to each side of the equation. -20 + 20 + 4x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 4 + 20 4x = 4 + 20 Combine like terms: 4 + 20 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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