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Simplifying 5.542(1.3x + -7.4) = -8.79412 + 1.65x Reorder the terms: 5.542(-7.4 + 1.3x) = -8.79412 + 1.65x (-7.4 * 5.542 + 1.3x * 5.542) = -8.79412 + 1.65x (-41.0108 + 7.2046x) = -8.79412 + 1.65x Solving -41.0108 + 7.2046x = -8.79412 + 1.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65x' to each side of the equation. -41.0108 + 7.2046x + -1.65x = -8.79412 + 1.65x + -1.65x Combine like terms: 7.2046x + -1.65x = 5.5546x -41.0108 + 5.5546x = -8.79412 + 1.65x + -1.65x Combine like terms: 1.65x + -1.65x = 0.00 -41.0108 + 5.5546x = -8.79412 + 0.00 -41.0108 + 5.5546x = -8.79412 Add '41.0108' to each side of the equation. -41.0108 + 41.0108 + 5.5546x = -8.79412 + 41.0108 Combine like terms: -41.0108 + 41.0108 = 0.0000 0.0000 + 5.5546x = -8.79412 + 41.0108 5.5546x = -8.79412 + 41.0108 Combine like terms: -8.79412 + 41.0108 = 32.21668 5.5546x = 32.21668 Divide each side by '5.5546'. x = 5.8 Simplifying x = 5.8
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