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Simplifying 1.5(6 + -1x) = 1.3(4 + -1x) (6 * 1.5 + -1x * 1.5) = 1.3(4 + -1x) (9 + -1.5x) = 1.3(4 + -1x) 9 + -1.5x = (4 * 1.3 + -1x * 1.3) 9 + -1.5x = (5.2 + -1.3x) Solving 9 + -1.5x = 5.2 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 9 + -1.5x + 1.3x = 5.2 + -1.3x + 1.3x Combine like terms: -1.5x + 1.3x = -0.2x 9 + -0.2x = 5.2 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 9 + -0.2x = 5.2 + 0.0 9 + -0.2x = 5.2 Add '-9' to each side of the equation. 9 + -9 + -0.2x = 5.2 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2x = 5.2 + -9 -0.2x = 5.2 + -9 Combine like terms: 5.2 + -9 = -3.8 -0.2x = -3.8 Divide each side by '-0.2'. x = 19 Simplifying x = 19
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