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Simplifying 27 + 2(x) = 22.5 + 5(x) Solving 27 + 2x = 22.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 2x + -5x = 22.5 + 5x + -5x Combine like terms: 2x + -5x = -3x 27 + -3x = 22.5 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -3x = 22.5 + 0 27 + -3x = 22.5 Add '-27' to each side of the equation. 27 + -27 + -3x = 22.5 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 22.5 + -27 -3x = 22.5 + -27 Combine like terms: 22.5 + -27 = -4.5 -3x = -4.5 Divide each side by '-3'. x = 1.5 Simplifying x = 1.5
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