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