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Simplifying 0.5x + 0.75(5 + -1x) = 0.7(5) 0.5x + (5 * 0.75 + -1x * 0.75) = 0.7(5) 0.5x + (3.75 + -0.75x) = 0.7(5) Reorder the terms: 3.75 + 0.5x + -0.75x = 0.7(5) Combine like terms: 0.5x + -0.75x = -0.25x 3.75 + -0.25x = 0.7(5) Multiply 0.7 * 5 3.75 + -0.25x = 3.5 Solving 3.75 + -0.25x = 3.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + -0.25x = 3.5 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.25x = 3.5 + -3.75 -0.25x = 3.5 + -3.75 Combine like terms: 3.5 + -3.75 = -0.25 -0.25x = -0.25 Divide each side by '-0.25'. x = 1 Simplifying x = 1
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