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Simplifying 2.5x + 2.5 = 1.5x + 10.5 Reorder the terms: 2.5 + 2.5x = 1.5x + 10.5 Reorder the terms: 2.5 + 2.5x = 10.5 + 1.5x Solving 2.5 + 2.5x = 10.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 2.5 + 2.5x + -1.5x = 10.5 + 1.5x + -1.5x Combine like terms: 2.5x + -1.5x = 1x 2.5 + 1x = 10.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2.5 + 1x = 10.5 + 0.0 2.5 + 1x = 10.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1x = 10.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1x = 10.5 + -2.5 1x = 10.5 + -2.5 Combine like terms: 10.5 + -2.5 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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