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Simplifying -8x + 7(8x + 8) = 4(8x + -6) Reorder the terms: -8x + 7(8 + 8x) = 4(8x + -6) -8x + (8 * 7 + 8x * 7) = 4(8x + -6) -8x + (56 + 56x) = 4(8x + -6) Reorder the terms: 56 + -8x + 56x = 4(8x + -6) Combine like terms: -8x + 56x = 48x 56 + 48x = 4(8x + -6) Reorder the terms: 56 + 48x = 4(-6 + 8x) 56 + 48x = (-6 * 4 + 8x * 4) 56 + 48x = (-24 + 32x) Solving 56 + 48x = -24 + 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. 56 + 48x + -32x = -24 + 32x + -32x Combine like terms: 48x + -32x = 16x 56 + 16x = -24 + 32x + -32x Combine like terms: 32x + -32x = 0 56 + 16x = -24 + 0 56 + 16x = -24 Add '-56' to each side of the equation. 56 + -56 + 16x = -24 + -56 Combine like terms: 56 + -56 = 0 0 + 16x = -24 + -56 16x = -24 + -56 Combine like terms: -24 + -56 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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