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Simplifying 5(3 + x) + -4(2 + -1x) = 12 (3 * 5 + x * 5) + -4(2 + -1x) = 12 (15 + 5x) + -4(2 + -1x) = 12 15 + 5x + (2 * -4 + -1x * -4) = 12 15 + 5x + (-8 + 4x) = 12 Reorder the terms: 15 + -8 + 5x + 4x = 12 Combine like terms: 15 + -8 = 7 7 + 5x + 4x = 12 Combine like terms: 5x + 4x = 9x 7 + 9x = 12 Solving 7 + 9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 12 + -7 9x = 12 + -7 Combine like terms: 12 + -7 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556
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