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Simplifying 10(3x + 12) + 13x + -14 = 0 Reorder the terms: 10(12 + 3x) + 13x + -14 = 0 (12 * 10 + 3x * 10) + 13x + -14 = 0 (120 + 30x) + 13x + -14 = 0 Reorder the terms: 120 + -14 + 30x + 13x = 0 Combine like terms: 120 + -14 = 106 106 + 30x + 13x = 0 Combine like terms: 30x + 13x = 43x 106 + 43x = 0 Solving 106 + 43x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 43x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 43x = 0 + -106 43x = 0 + -106 Combine like terms: 0 + -106 = -106 43x = -106 Divide each side by '43'. x = -2.465116279 Simplifying x = -2.465116279
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