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Simplifying 8(5x + 1) = 2x + -8x Reorder the terms: 8(1 + 5x) = 2x + -8x (1 * 8 + 5x * 8) = 2x + -8x (8 + 40x) = 2x + -8x Combine like terms: 2x + -8x = -6x 8 + 40x = -6x Solving 8 + 40x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 40x + 6x = -6x + 6x Combine like terms: 40x + 6x = 46x 8 + 46x = -6x + 6x Combine like terms: -6x + 6x = 0 8 + 46x = 0 Add '-8' to each side of the equation. 8 + -8 + 46x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 46x = 0 + -8 46x = 0 + -8 Combine like terms: 0 + -8 = -8 46x = -8 Divide each side by '46'. x = -0.1739130435 Simplifying x = -0.1739130435
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