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Simplifying 7x + 4(6x + 8) = -4(2x + -8) Reorder the terms: 7x + 4(8 + 6x) = -4(2x + -8) 7x + (8 * 4 + 6x * 4) = -4(2x + -8) 7x + (32 + 24x) = -4(2x + -8) Reorder the terms: 32 + 7x + 24x = -4(2x + -8) Combine like terms: 7x + 24x = 31x 32 + 31x = -4(2x + -8) Reorder the terms: 32 + 31x = -4(-8 + 2x) 32 + 31x = (-8 * -4 + 2x * -4) 32 + 31x = (32 + -8x) Add '-32' to each side of the equation. 32 + -32 + 31x = 32 + -32 + -8x Combine like terms: 32 + -32 = 0 0 + 31x = 32 + -32 + -8x 31x = 32 + -32 + -8x Combine like terms: 32 + -32 = 0 31x = 0 + -8x 31x = -8x Solving 31x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 31x + 8x = -8x + 8x Combine like terms: 31x + 8x = 39x 39x = -8x + 8x Combine like terms: -8x + 8x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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