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Simplifying -8x + 8(1 + 4x) = 152 -8x + (1 * 8 + 4x * 8) = 152 -8x + (8 + 32x) = 152 Reorder the terms: 8 + -8x + 32x = 152 Combine like terms: -8x + 32x = 24x 8 + 24x = 152 Solving 8 + 24x = 152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 24x = 152 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = 152 + -8 24x = 152 + -8 Combine like terms: 152 + -8 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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