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Simplifying 6 = x + 0.5(7.5 + -1x) 6 = x + (7.5 * 0.5 + -1x * 0.5) 6 = x + (3.75 + -0.5x) Reorder the terms: 6 = 3.75 + x + -0.5x Combine like terms: x + -0.5x = 0.5x 6 = 3.75 + 0.5x Solving 6 = 3.75 + 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. 6 + -0.5x = 3.75 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -0.5x = 3.75 + 0.0 6 + -0.5x = 3.75 Add '-6' to each side of the equation. 6 + -6 + -0.5x = 3.75 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5x = 3.75 + -6 -0.5x = 3.75 + -6 Combine like terms: 3.75 + -6 = -2.25 -0.5x = -2.25 Divide each side by '-0.5'. x = 4.5 Simplifying x = 4.5
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