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Simplifying 1.3(7 + -1x) = 1.1(5 + -1x) (7 * 1.3 + -1x * 1.3) = 1.1(5 + -1x) (9.1 + -1.3x) = 1.1(5 + -1x) 9.1 + -1.3x = (5 * 1.1 + -1x * 1.1) 9.1 + -1.3x = (5.5 + -1.1x) Solving 9.1 + -1.3x = 5.5 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 9.1 + -1.3x + 1.1x = 5.5 + -1.1x + 1.1x Combine like terms: -1.3x + 1.1x = -0.2x 9.1 + -0.2x = 5.5 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 9.1 + -0.2x = 5.5 + 0.0 9.1 + -0.2x = 5.5 Add '-9.1' to each side of the equation. 9.1 + -9.1 + -0.2x = 5.5 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -0.2x = 5.5 + -9.1 -0.2x = 5.5 + -9.1 Combine like terms: 5.5 + -9.1 = -3.6 -0.2x = -3.6 Divide each side by '-0.2'. x = 18 Simplifying x = 18
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