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Simplifying 10.5x + 7 = 11.5x + 9 Reorder the terms: 7 + 10.5x = 11.5x + 9 Reorder the terms: 7 + 10.5x = 9 + 11.5x Solving 7 + 10.5x = 9 + 11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.5x' to each side of the equation. 7 + 10.5x + -11.5x = 9 + 11.5x + -11.5x Combine like terms: 10.5x + -11.5x = -1x 7 + -1x = 9 + 11.5x + -11.5x Combine like terms: 11.5x + -11.5x = 0.0 7 + -1x = 9 + 0.0 7 + -1x = 9 Add '-7' to each side of the equation. 7 + -7 + -1x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 9 + -7 -1x = 9 + -7 Combine like terms: 9 + -7 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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