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Simplifying 4(2x + 8) = -7(-1x + 5) Reorder the terms: 4(8 + 2x) = -7(-1x + 5) (8 * 4 + 2x * 4) = -7(-1x + 5) (32 + 8x) = -7(-1x + 5) Reorder the terms: 32 + 8x = -7(5 + -1x) 32 + 8x = (5 * -7 + -1x * -7) 32 + 8x = (-35 + 7x) Solving 32 + 8x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + 8x + -7x = -35 + 7x + -7x Combine like terms: 8x + -7x = 1x 32 + 1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + 1x = -35 + 0 32 + 1x = -35 Add '-32' to each side of the equation. 32 + -32 + 1x = -35 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -35 + -32 1x = -35 + -32 Combine like terms: -35 + -32 = -67 1x = -67 Divide each side by '1'. x = -67 Simplifying x = -67
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