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Simplifying 1.3(7x + 4) = 1.8 + -1(x + 5) Reorder the terms: 1.3(4 + 7x) = 1.8 + -1(x + 5) (4 * 1.3 + 7x * 1.3) = 1.8 + -1(x + 5) (5.2 + 9.1x) = 1.8 + -1(x + 5) Reorder the terms: 5.2 + 9.1x = 1.8 + -1(5 + x) 5.2 + 9.1x = 1.8 + (5 * -1 + x * -1) 5.2 + 9.1x = 1.8 + (-5 + -1x) Combine like terms: 1.8 + -5 = -3.2 5.2 + 9.1x = -3.2 + -1x Solving 5.2 + 9.1x = -3.2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5.2 + 9.1x + x = -3.2 + -1x + x Combine like terms: 9.1x + x = 10.1x 5.2 + 10.1x = -3.2 + -1x + x Combine like terms: -1x + x = 0 5.2 + 10.1x = -3.2 + 0 5.2 + 10.1x = -3.2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + 10.1x = -3.2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 10.1x = -3.2 + -5.2 10.1x = -3.2 + -5.2 Combine like terms: -3.2 + -5.2 = -8.4 10.1x = -8.4 Divide each side by '10.1'. x = -0.8316831683 Simplifying x = -0.8316831683
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