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Simplifying 6(4x + 3) = 5(x + 2) + -12 Reorder the terms: 6(3 + 4x) = 5(x + 2) + -12 (3 * 6 + 4x * 6) = 5(x + 2) + -12 (18 + 24x) = 5(x + 2) + -12 Reorder the terms: 18 + 24x = 5(2 + x) + -12 18 + 24x = (2 * 5 + x * 5) + -12 18 + 24x = (10 + 5x) + -12 Reorder the terms: 18 + 24x = 10 + -12 + 5x Combine like terms: 10 + -12 = -2 18 + 24x = -2 + 5x Solving 18 + 24x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 24x + -5x = -2 + 5x + -5x Combine like terms: 24x + -5x = 19x 18 + 19x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 19x = -2 + 0 18 + 19x = -2 Add '-18' to each side of the equation. 18 + -18 + 19x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = -2 + -18 19x = -2 + -18 Combine like terms: -2 + -18 = -20 19x = -20 Divide each side by '19'. x = -1.052631579 Simplifying x = -1.052631579
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