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Simplifying 6(3x + -2) = 2(10 + x) Reorder the terms: 6(-2 + 3x) = 2(10 + x) (-2 * 6 + 3x * 6) = 2(10 + x) (-12 + 18x) = 2(10 + x) -12 + 18x = (10 * 2 + x * 2) -12 + 18x = (20 + 2x) Solving -12 + 18x = 20 + 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. -12 + 18x + -2x = 20 + 2x + -2x Combine like terms: 18x + -2x = 16x -12 + 16x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 16x = 20 + 0 -12 + 16x = 20 Add '12' to each side of the equation. -12 + 12 + 16x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 20 + 12 16x = 20 + 12 Combine like terms: 20 + 12 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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