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Simplifying 5(x + -3) + 14(x + 12) = 0 Reorder the terms: 5(-3 + x) + 14(x + 12) = 0 (-3 * 5 + x * 5) + 14(x + 12) = 0 (-15 + 5x) + 14(x + 12) = 0 Reorder the terms: -15 + 5x + 14(12 + x) = 0 -15 + 5x + (12 * 14 + x * 14) = 0 -15 + 5x + (168 + 14x) = 0 Reorder the terms: -15 + 168 + 5x + 14x = 0 Combine like terms: -15 + 168 = 153 153 + 5x + 14x = 0 Combine like terms: 5x + 14x = 19x 153 + 19x = 0 Solving 153 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-153' to each side of the equation. 153 + -153 + 19x = 0 + -153 Combine like terms: 153 + -153 = 0 0 + 19x = 0 + -153 19x = 0 + -153 Combine like terms: 0 + -153 = -153 19x = -153 Divide each side by '19'. x = -8.052631579 Simplifying x = -8.052631579
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