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Simplifying 41 = 0.5x + 0.7x + -7 Reorder the terms: 41 = -7 + 0.5x + 0.7x Combine like terms: 0.5x + 0.7x = 1.2x 41 = -7 + 1.2x Solving 41 = -7 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 41 + -1.2x = -7 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 41 + -1.2x = -7 + 0.0 41 + -1.2x = -7 Add '-41' to each side of the equation. 41 + -41 + -1.2x = -7 + -41 Combine like terms: 41 + -41 = 0 0 + -1.2x = -7 + -41 -1.2x = -7 + -41 Combine like terms: -7 + -41 = -48 -1.2x = -48 Divide each side by '-1.2'. x = 40 Simplifying x = 40
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