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Simplifying 5(x + -1) + -3(x + -4) = 12 Reorder the terms: 5(-1 + x) + -3(x + -4) = 12 (-1 * 5 + x * 5) + -3(x + -4) = 12 (-5 + 5x) + -3(x + -4) = 12 Reorder the terms: -5 + 5x + -3(-4 + x) = 12 -5 + 5x + (-4 * -3 + x * -3) = 12 -5 + 5x + (12 + -3x) = 12 Reorder the terms: -5 + 12 + 5x + -3x = 12 Combine like terms: -5 + 12 = 7 7 + 5x + -3x = 12 Combine like terms: 5x + -3x = 2x 7 + 2x = 12 Solving 7 + 2x = 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 + 2x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 12 + -7 2x = 12 + -7 Combine like terms: 12 + -7 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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