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Simplifying 12(12x + 2 + 16) = 8(9x + -4x) Reorder the terms: 12(2 + 16 + 12x) = 8(9x + -4x) Combine like terms: 2 + 16 = 18 12(18 + 12x) = 8(9x + -4x) (18 * 12 + 12x * 12) = 8(9x + -4x) (216 + 144x) = 8(9x + -4x) Combine like terms: 9x + -4x = 5x 216 + 144x = 8(5x) Remove parenthesis around (5x) 216 + 144x = 8 * 5x Multiply 8 * 5 216 + 144x = 40x Solving 216 + 144x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 216 + 144x + -40x = 40x + -40x Combine like terms: 144x + -40x = 104x 216 + 104x = 40x + -40x Combine like terms: 40x + -40x = 0 216 + 104x = 0 Add '-216' to each side of the equation. 216 + -216 + 104x = 0 + -216 Combine like terms: 216 + -216 = 0 0 + 104x = 0 + -216 104x = 0 + -216 Combine like terms: 0 + -216 = -216 104x = -216 Divide each side by '104'. x = -2.076923077 Simplifying x = -2.076923077
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