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Simplifying 5(3 + 2x) + -4(3 + -1x) = 12 (3 * 5 + 2x * 5) + -4(3 + -1x) = 12 (15 + 10x) + -4(3 + -1x) = 12 15 + 10x + (3 * -4 + -1x * -4) = 12 15 + 10x + (-12 + 4x) = 12 Reorder the terms: 15 + -12 + 10x + 4x = 12 Combine like terms: 15 + -12 = 3 3 + 10x + 4x = 12 Combine like terms: 10x + 4x = 14x 3 + 14x = 12 Solving 3 + 14x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 12 + -3 14x = 12 + -3 Combine like terms: 12 + -3 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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