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Simplifying 0.25(x + 50) + -0.03(x + -40) = 26.9 Reorder the terms: 0.25(50 + x) + -0.03(x + -40) = 26.9 (50 * 0.25 + x * 0.25) + -0.03(x + -40) = 26.9 (12.5 + 0.25x) + -0.03(x + -40) = 26.9 Reorder the terms: 12.5 + 0.25x + -0.03(-40 + x) = 26.9 12.5 + 0.25x + (-40 * -0.03 + x * -0.03) = 26.9 12.5 + 0.25x + (1.2 + -0.03x) = 26.9 Reorder the terms: 12.5 + 1.2 + 0.25x + -0.03x = 26.9 Combine like terms: 12.5 + 1.2 = 13.7 13.7 + 0.25x + -0.03x = 26.9 Combine like terms: 0.25x + -0.03x = 0.22x 13.7 + 0.22x = 26.9 Solving 13.7 + 0.22x = 26.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.7' to each side of the equation. 13.7 + -13.7 + 0.22x = 26.9 + -13.7 Combine like terms: 13.7 + -13.7 = 0.0 0.0 + 0.22x = 26.9 + -13.7 0.22x = 26.9 + -13.7 Combine like terms: 26.9 + -13.7 = 13.2 0.22x = 13.2 Divide each side by '0.22'. x = 60 Simplifying x = 60
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