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Simplifying 3 + 3(4 + -1x) = -8(2 + -4x) + -4x 3 + (4 * 3 + -1x * 3) = -8(2 + -4x) + -4x 3 + (12 + -3x) = -8(2 + -4x) + -4x Combine like terms: 3 + 12 = 15 15 + -3x = -8(2 + -4x) + -4x 15 + -3x = (2 * -8 + -4x * -8) + -4x 15 + -3x = (-16 + 32x) + -4x Combine like terms: 32x + -4x = 28x 15 + -3x = -16 + 28x Solving 15 + -3x = -16 + 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. 15 + -3x + -28x = -16 + 28x + -28x Combine like terms: -3x + -28x = -31x 15 + -31x = -16 + 28x + -28x Combine like terms: 28x + -28x = 0 15 + -31x = -16 + 0 15 + -31x = -16 Add '-15' to each side of the equation. 15 + -15 + -31x = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -31x = -16 + -15 -31x = -16 + -15 Combine like terms: -16 + -15 = -31 -31x = -31 Divide each side by '-31'. x = 1 Simplifying x = 1
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