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Simplifying 5(x + -1) + 3(4 + -1x) = 0 Reorder the terms: 5(-1 + x) + 3(4 + -1x) = 0 (-1 * 5 + x * 5) + 3(4 + -1x) = 0 (-5 + 5x) + 3(4 + -1x) = 0 -5 + 5x + (4 * 3 + -1x * 3) = 0 -5 + 5x + (12 + -3x) = 0 Reorder the terms: -5 + 12 + 5x + -3x = 0 Combine like terms: -5 + 12 = 7 7 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 7 + 2x = 0 Solving 7 + 2x = 0 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 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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