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Simplifying 10 + -2x = 7 + -0.5x Solving 10 + -2x = 7 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 10 + -2x + 0.5x = 7 + -0.5x + 0.5x Combine like terms: -2x + 0.5x = -1.5x 10 + -1.5x = 7 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 10 + -1.5x = 7 + 0.0 10 + -1.5x = 7 Add '-10' to each side of the equation. 10 + -10 + -1.5x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1.5x = 7 + -10 -1.5x = 7 + -10 Combine like terms: 7 + -10 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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