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Simplifying 45 + -3.5x = 27.5 + -1x Solving 45 + -3.5x = 27.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + -3.5x + x = 27.5 + -1x + x Combine like terms: -3.5x + x = -2.5x 45 + -2.5x = 27.5 + -1x + x Combine like terms: -1x + x = 0 45 + -2.5x = 27.5 + 0 45 + -2.5x = 27.5 Add '-45' to each side of the equation. 45 + -45 + -2.5x = 27.5 + -45 Combine like terms: 45 + -45 = 0 0 + -2.5x = 27.5 + -45 -2.5x = 27.5 + -45 Combine like terms: 27.5 + -45 = -17.5 -2.5x = -17.5 Divide each side by '-2.5'. x = 7 Simplifying x = 7
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