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Simplifying 18(5x + 12) = -14(x + -5) Reorder the terms: 18(12 + 5x) = -14(x + -5) (12 * 18 + 5x * 18) = -14(x + -5) (216 + 90x) = -14(x + -5) Reorder the terms: 216 + 90x = -14(-5 + x) 216 + 90x = (-5 * -14 + x * -14) 216 + 90x = (70 + -14x) Solving 216 + 90x = 70 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 216 + 90x + 14x = 70 + -14x + 14x Combine like terms: 90x + 14x = 104x 216 + 104x = 70 + -14x + 14x Combine like terms: -14x + 14x = 0 216 + 104x = 70 + 0 216 + 104x = 70 Add '-216' to each side of the equation. 216 + -216 + 104x = 70 + -216 Combine like terms: 216 + -216 = 0 0 + 104x = 70 + -216 104x = 70 + -216 Combine like terms: 70 + -216 = -146 104x = -146 Divide each side by '104'. x = -1.403846154 Simplifying x = -1.403846154
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