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Simplifying 14(2x + 12) = -32(x + -3) Reorder the terms: 14(12 + 2x) = -32(x + -3) (12 * 14 + 2x * 14) = -32(x + -3) (168 + 28x) = -32(x + -3) Reorder the terms: 168 + 28x = -32(-3 + x) 168 + 28x = (-3 * -32 + x * -32) 168 + 28x = (96 + -32x) Solving 168 + 28x = 96 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 168 + 28x + 32x = 96 + -32x + 32x Combine like terms: 28x + 32x = 60x 168 + 60x = 96 + -32x + 32x Combine like terms: -32x + 32x = 0 168 + 60x = 96 + 0 168 + 60x = 96 Add '-168' to each side of the equation. 168 + -168 + 60x = 96 + -168 Combine like terms: 168 + -168 = 0 0 + 60x = 96 + -168 60x = 96 + -168 Combine like terms: 96 + -168 = -72 60x = -72 Divide each side by '60'. x = -1.2 Simplifying x = -1.2
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