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Simplifying 1.70(x + -5.40) = 7.40(x + -1.80) Reorder the terms: 1.70(-5.40 + x) = 7.40(x + -1.80) (-5.40 * 1.70 + x * 1.70) = 7.40(x + -1.80) (-9.18 + 1.70x) = 7.40(x + -1.80) Reorder the terms: -9.18 + 1.70x = 7.40(-1.80 + x) -9.18 + 1.70x = (-1.80 * 7.40 + x * 7.40) -9.18 + 1.70x = (-13.32 + 7.40x) Solving -9.18 + 1.70x = -13.32 + 7.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.40x' to each side of the equation. -9.18 + 1.70x + -7.40x = -13.32 + 7.40x + -7.40x Combine like terms: 1.70x + -7.40x = -5.7x -9.18 + -5.7x = -13.32 + 7.40x + -7.40x Combine like terms: 7.40x + -7.40x = 0.00 -9.18 + -5.7x = -13.32 + 0.00 -9.18 + -5.7x = -13.32 Add '9.18' to each side of the equation. -9.18 + 9.18 + -5.7x = -13.32 + 9.18 Combine like terms: -9.18 + 9.18 = 0.00 0.00 + -5.7x = -13.32 + 9.18 -5.7x = -13.32 + 9.18 Combine like terms: -13.32 + 9.18 = -4.14 -5.7x = -4.14 Divide each side by '-5.7'. x = 0.7263157895 Simplifying x = 0.7263157895
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