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Simplifying 0.5 + -1x + 7 = 0.75 + 2x Reorder the terms: 0.5 + 7 + -1x = 0.75 + 2x Combine like terms: 0.5 + 7 = 7.5 7.5 + -1x = 0.75 + 2x Solving 7.5 + -1x = 0.75 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7.5 + -1x + -2x = 0.75 + 2x + -2x Combine like terms: -1x + -2x = -3x 7.5 + -3x = 0.75 + 2x + -2x Combine like terms: 2x + -2x = 0 7.5 + -3x = 0.75 + 0 7.5 + -3x = 0.75 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -3x = 0.75 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -3x = 0.75 + -7.5 -3x = 0.75 + -7.5 Combine like terms: 0.75 + -7.5 = -6.75 -3x = -6.75 Divide each side by '-3'. x = 2.25 Simplifying x = 2.25
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