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Simplifying 3(2x + 2) = 2(12x + -5) Reorder the terms: 3(2 + 2x) = 2(12x + -5) (2 * 3 + 2x * 3) = 2(12x + -5) (6 + 6x) = 2(12x + -5) Reorder the terms: 6 + 6x = 2(-5 + 12x) 6 + 6x = (-5 * 2 + 12x * 2) 6 + 6x = (-10 + 24x) Solving 6 + 6x = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 6 + 6x + -24x = -10 + 24x + -24x Combine like terms: 6x + -24x = -18x 6 + -18x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 6 + -18x = -10 + 0 6 + -18x = -10 Add '-6' to each side of the equation. 6 + -6 + -18x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -10 + -6 -18x = -10 + -6 Combine like terms: -10 + -6 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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