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Simplifying 8(2x + 1) = 2x + -18x Reorder the terms: 8(1 + 2x) = 2x + -18x (1 * 8 + 2x * 8) = 2x + -18x (8 + 16x) = 2x + -18x Combine like terms: 2x + -18x = -16x 8 + 16x = -16x Solving 8 + 16x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 8 + 16x + 16x = -16x + 16x Combine like terms: 16x + 16x = 32x 8 + 32x = -16x + 16x Combine like terms: -16x + 16x = 0 8 + 32x = 0 Add '-8' to each side of the equation. 8 + -8 + 32x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 32x = 0 + -8 32x = 0 + -8 Combine like terms: 0 + -8 = -8 32x = -8 Divide each side by '32'. x = -0.25 Simplifying x = -0.25
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