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Simplifying 2.5(70 + -1x) = 10 + 0.5x (70 * 2.5 + -1x * 2.5) = 10 + 0.5x (175 + -2.5x) = 10 + 0.5x Solving 175 + -2.5x = 10 + 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. 175 + -2.5x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: -2.5x + -0.5x = -3x 175 + -3x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 175 + -3x = 10 + 0.0 175 + -3x = 10 Add '-175' to each side of the equation. 175 + -175 + -3x = 10 + -175 Combine like terms: 175 + -175 = 0 0 + -3x = 10 + -175 -3x = 10 + -175 Combine like terms: 10 + -175 = -165 -3x = -165 Divide each side by '-3'. x = 55 Simplifying x = 55
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