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Simplifying 12 + 2(2x + -1) = 14(-2x + -8) Reorder the terms: 12 + 2(-1 + 2x) = 14(-2x + -8) 12 + (-1 * 2 + 2x * 2) = 14(-2x + -8) 12 + (-2 + 4x) = 14(-2x + -8) Combine like terms: 12 + -2 = 10 10 + 4x = 14(-2x + -8) Reorder the terms: 10 + 4x = 14(-8 + -2x) 10 + 4x = (-8 * 14 + -2x * 14) 10 + 4x = (-112 + -28x) Solving 10 + 4x = -112 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 10 + 4x + 28x = -112 + -28x + 28x Combine like terms: 4x + 28x = 32x 10 + 32x = -112 + -28x + 28x Combine like terms: -28x + 28x = 0 10 + 32x = -112 + 0 10 + 32x = -112 Add '-10' to each side of the equation. 10 + -10 + 32x = -112 + -10 Combine like terms: 10 + -10 = 0 0 + 32x = -112 + -10 32x = -112 + -10 Combine like terms: -112 + -10 = -122 32x = -122 Divide each side by '32'. x = -3.8125 Simplifying x = -3.8125
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