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Simplifying 4 + -2x = -8(4x + 7) Reorder the terms: 4 + -2x = -8(7 + 4x) 4 + -2x = (7 * -8 + 4x * -8) 4 + -2x = (-56 + -32x) Solving 4 + -2x = -56 + -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. 4 + -2x + 32x = -56 + -32x + 32x Combine like terms: -2x + 32x = 30x 4 + 30x = -56 + -32x + 32x Combine like terms: -32x + 32x = 0 4 + 30x = -56 + 0 4 + 30x = -56 Add '-4' to each side of the equation. 4 + -4 + 30x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 30x = -56 + -4 30x = -56 + -4 Combine like terms: -56 + -4 = -60 30x = -60 Divide each side by '30'. x = -2 Simplifying x = -2
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