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Simplifying -14 + 3(x + 10) = 7(2x + 12) Reorder the terms: -14 + 3(10 + x) = 7(2x + 12) -14 + (10 * 3 + x * 3) = 7(2x + 12) -14 + (30 + 3x) = 7(2x + 12) Combine like terms: -14 + 30 = 16 16 + 3x = 7(2x + 12) Reorder the terms: 16 + 3x = 7(12 + 2x) 16 + 3x = (12 * 7 + 2x * 7) 16 + 3x = (84 + 14x) Solving 16 + 3x = 84 + 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. 16 + 3x + -14x = 84 + 14x + -14x Combine like terms: 3x + -14x = -11x 16 + -11x = 84 + 14x + -14x Combine like terms: 14x + -14x = 0 16 + -11x = 84 + 0 16 + -11x = 84 Add '-16' to each side of the equation. 16 + -16 + -11x = 84 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = 84 + -16 -11x = 84 + -16 Combine like terms: 84 + -16 = 68 -11x = 68 Divide each side by '-11'. x = -6.181818182 Simplifying x = -6.181818182
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