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Simplifying 2.3(6x + 8) = 24 + 18x Reorder the terms: 2.3(8 + 6x) = 24 + 18x (8 * 2.3 + 6x * 2.3) = 24 + 18x (18.4 + 13.8x) = 24 + 18x Solving 18.4 + 13.8x = 24 + 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. 18.4 + 13.8x + -18x = 24 + 18x + -18x Combine like terms: 13.8x + -18x = -4.2x 18.4 + -4.2x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 18.4 + -4.2x = 24 + 0 18.4 + -4.2x = 24 Add '-18.4' to each side of the equation. 18.4 + -18.4 + -4.2x = 24 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + -4.2x = 24 + -18.4 -4.2x = 24 + -18.4 Combine like terms: 24 + -18.4 = 5.6 -4.2x = 5.6 Divide each side by '-4.2'. x = -1.333333333 Simplifying x = -1.333333333
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