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Simplifying 8(3x + 1) = 18x + -45 Reorder the terms: 8(1 + 3x) = 18x + -45 (1 * 8 + 3x * 8) = 18x + -45 (8 + 24x) = 18x + -45 Reorder the terms: 8 + 24x = -45 + 18x Solving 8 + 24x = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 8 + 24x + -18x = -45 + 18x + -18x Combine like terms: 24x + -18x = 6x 8 + 6x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + 6x = -45 + 0 8 + 6x = -45 Add '-8' to each side of the equation. 8 + -8 + 6x = -45 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -45 + -8 6x = -45 + -8 Combine like terms: -45 + -8 = -53 6x = -53 Divide each side by '6'. x = -8.833333333 Simplifying x = -8.833333333
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