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Simplifying 8(x + 4) = 2x + -5(4 + -1x) + -7 Reorder the terms: 8(4 + x) = 2x + -5(4 + -1x) + -7 (4 * 8 + x * 8) = 2x + -5(4 + -1x) + -7 (32 + 8x) = 2x + -5(4 + -1x) + -7 32 + 8x = 2x + (4 * -5 + -1x * -5) + -7 32 + 8x = 2x + (-20 + 5x) + -7 Reorder the terms: 32 + 8x = -20 + -7 + 2x + 5x Combine like terms: -20 + -7 = -27 32 + 8x = -27 + 2x + 5x Combine like terms: 2x + 5x = 7x 32 + 8x = -27 + 7x Solving 32 + 8x = -27 + 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 = -27 + 7x + -7x Combine like terms: 8x + -7x = 1x 32 + 1x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + 1x = -27 + 0 32 + 1x = -27 Add '-32' to each side of the equation. 32 + -32 + 1x = -27 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -27 + -32 1x = -27 + -32 Combine like terms: -27 + -32 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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