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Simplifying 0.5(25x + 20) + -5 = 0.3(27x + -18) Reorder the terms: 0.5(20 + 25x) + -5 = 0.3(27x + -18) (20 * 0.5 + 25x * 0.5) + -5 = 0.3(27x + -18) (10 + 12.5x) + -5 = 0.3(27x + -18) Reorder the terms: 10 + -5 + 12.5x = 0.3(27x + -18) Combine like terms: 10 + -5 = 5 5 + 12.5x = 0.3(27x + -18) Reorder the terms: 5 + 12.5x = 0.3(-18 + 27x) 5 + 12.5x = (-18 * 0.3 + 27x * 0.3) 5 + 12.5x = (-5.4 + 8.1x) Solving 5 + 12.5x = -5.4 + 8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.1x' to each side of the equation. 5 + 12.5x + -8.1x = -5.4 + 8.1x + -8.1x Combine like terms: 12.5x + -8.1x = 4.4x 5 + 4.4x = -5.4 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 5 + 4.4x = -5.4 + 0.0 5 + 4.4x = -5.4 Add '-5' to each side of the equation. 5 + -5 + 4.4x = -5.4 + -5 Combine like terms: 5 + -5 = 0 0 + 4.4x = -5.4 + -5 4.4x = -5.4 + -5 Combine like terms: -5.4 + -5 = -10.4 4.4x = -10.4 Divide each side by '4.4'. x = -2.363636364 Simplifying x = -2.363636364
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