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Simplifying 2.3(5 + -1x) = -0.7(1 + -1x) (5 * 2.3 + -1x * 2.3) = -0.7(1 + -1x) (11.5 + -2.3x) = -0.7(1 + -1x) 11.5 + -2.3x = (1 * -0.7 + -1x * -0.7) 11.5 + -2.3x = (-0.7 + 0.7x) Solving 11.5 + -2.3x = -0.7 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 11.5 + -2.3x + -0.7x = -0.7 + 0.7x + -0.7x Combine like terms: -2.3x + -0.7x = -3x 11.5 + -3x = -0.7 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 11.5 + -3x = -0.7 + 0.0 11.5 + -3x = -0.7 Add '-11.5' to each side of the equation. 11.5 + -11.5 + -3x = -0.7 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -3x = -0.7 + -11.5 -3x = -0.7 + -11.5 Combine like terms: -0.7 + -11.5 = -12.2 -3x = -12.2 Divide each side by '-3'. x = 4.066666667 Simplifying x = 4.066666667
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