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Simplifying 10x + 7 = 11x + 4.5 Reorder the terms: 7 + 10x = 11x + 4.5 Reorder the terms: 7 + 10x = 4.5 + 11x Solving 7 + 10x = 4.5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 10x + -11x = 4.5 + 11x + -11x Combine like terms: 10x + -11x = -1x 7 + -1x = 4.5 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -1x = 4.5 + 0 7 + -1x = 4.5 Add '-7' to each side of the equation. 7 + -7 + -1x = 4.5 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 4.5 + -7 -1x = 4.5 + -7 Combine like terms: 4.5 + -7 = -2.5 -1x = -2.5 Divide each side by '-1'. x = 2.5 Simplifying x = 2.5
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