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Simplifying 1.70(x + -5.90) = 7.70(x + -1.0) Reorder the terms: 1.70(-5.90 + x) = 7.70(x + -1.0) (-5.90 * 1.70 + x * 1.70) = 7.70(x + -1.0) (-10.03 + 1.70x) = 7.70(x + -1.0) Reorder the terms: -10.03 + 1.70x = 7.70(-1.0 + x) -10.03 + 1.70x = (-1.0 * 7.70 + x * 7.70) -10.03 + 1.70x = (-7.7 + 7.70x) Solving -10.03 + 1.70x = -7.7 + 7.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.70x' to each side of the equation. -10.03 + 1.70x + -7.70x = -7.7 + 7.70x + -7.70x Combine like terms: 1.70x + -7.70x = -6x -10.03 + -6x = -7.7 + 7.70x + -7.70x Combine like terms: 7.70x + -7.70x = 0.00 -10.03 + -6x = -7.7 + 0.00 -10.03 + -6x = -7.7 Add '10.03' to each side of the equation. -10.03 + 10.03 + -6x = -7.7 + 10.03 Combine like terms: -10.03 + 10.03 = 0.00 0.00 + -6x = -7.7 + 10.03 -6x = -7.7 + 10.03 Combine like terms: -7.7 + 10.03 = 2.33 -6x = 2.33 Divide each side by '-6'. x = -0.3883333333 Simplifying x = -0.3883333333
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