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Simplifying 0.5(18 + -5x) = 0.3(6 + -4x) (18 * 0.5 + -5x * 0.5) = 0.3(6 + -4x) (9 + -2.5x) = 0.3(6 + -4x) 9 + -2.5x = (6 * 0.3 + -4x * 0.3) 9 + -2.5x = (1.8 + -1.2x) Solving 9 + -2.5x = 1.8 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 9 + -2.5x + 1.2x = 1.8 + -1.2x + 1.2x Combine like terms: -2.5x + 1.2x = -1.3x 9 + -1.3x = 1.8 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 9 + -1.3x = 1.8 + 0.0 9 + -1.3x = 1.8 Add '-9' to each side of the equation. 9 + -9 + -1.3x = 1.8 + -9 Combine like terms: 9 + -9 = 0 0 + -1.3x = 1.8 + -9 -1.3x = 1.8 + -9 Combine like terms: 1.8 + -9 = -7.2 -1.3x = -7.2 Divide each side by '-1.3'. x = 5.538461538 Simplifying x = 5.538461538
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