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Simplifying 5.4x + -1.745 = 0.2(0.7x + 11) Reorder the terms: -1.745 + 5.4x = 0.2(0.7x + 11) Reorder the terms: -1.745 + 5.4x = 0.2(11 + 0.7x) -1.745 + 5.4x = (11 * 0.2 + 0.7x * 0.2) -1.745 + 5.4x = (2.2 + 0.14x) Solving -1.745 + 5.4x = 2.2 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. -1.745 + 5.4x + -0.14x = 2.2 + 0.14x + -0.14x Combine like terms: 5.4x + -0.14x = 5.26x -1.745 + 5.26x = 2.2 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 -1.745 + 5.26x = 2.2 + 0.00 -1.745 + 5.26x = 2.2 Add '1.745' to each side of the equation. -1.745 + 1.745 + 5.26x = 2.2 + 1.745 Combine like terms: -1.745 + 1.745 = 0.000 0.000 + 5.26x = 2.2 + 1.745 5.26x = 2.2 + 1.745 Combine like terms: 2.2 + 1.745 = 3.945 5.26x = 3.945 Divide each side by '5.26'. x = 0.75 Simplifying x = 0.75
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