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Simplifying 5(2x + 3) + -3(4x + -1) = 12 Reorder the terms: 5(3 + 2x) + -3(4x + -1) = 12 (3 * 5 + 2x * 5) + -3(4x + -1) = 12 (15 + 10x) + -3(4x + -1) = 12 Reorder the terms: 15 + 10x + -3(-1 + 4x) = 12 15 + 10x + (-1 * -3 + 4x * -3) = 12 15 + 10x + (3 + -12x) = 12 Reorder the terms: 15 + 3 + 10x + -12x = 12 Combine like terms: 15 + 3 = 18 18 + 10x + -12x = 12 Combine like terms: 10x + -12x = -2x 18 + -2x = 12 Solving 18 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 12 + -18 -2x = 12 + -18 Combine like terms: 12 + -18 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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