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Simplifying -11.5x + 131 = 7.5x + -40.5 Reorder the terms: 131 + -11.5x = 7.5x + -40.5 Reorder the terms: 131 + -11.5x = -40.5 + 7.5x Solving 131 + -11.5x = -40.5 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 131 + -11.5x + -7.5x = -40.5 + 7.5x + -7.5x Combine like terms: -11.5x + -7.5x = -19x 131 + -19x = -40.5 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 131 + -19x = -40.5 + 0.0 131 + -19x = -40.5 Add '-131' to each side of the equation. 131 + -131 + -19x = -40.5 + -131 Combine like terms: 131 + -131 = 0 0 + -19x = -40.5 + -131 -19x = -40.5 + -131 Combine like terms: -40.5 + -131 = -171.5 -19x = -171.5 Divide each side by '-19'. x = 9.026315789 Simplifying x = 9.026315789
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