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Simplifying 6(3 + -2x) = 2(5 + -2x) (3 * 6 + -2x * 6) = 2(5 + -2x) (18 + -12x) = 2(5 + -2x) 18 + -12x = (5 * 2 + -2x * 2) 18 + -12x = (10 + -4x) Solving 18 + -12x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -12x + 4x = 10 + -4x + 4x Combine like terms: -12x + 4x = -8x 18 + -8x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -8x = 10 + 0 18 + -8x = 10 Add '-18' to each side of the equation. 18 + -18 + -8x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 10 + -18 -8x = 10 + -18 Combine like terms: 10 + -18 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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