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Simplifying 0.25(x + 20) + -0.03(x + -40) = -7 Reorder the terms: 0.25(20 + x) + -0.03(x + -40) = -7 (20 * 0.25 + x * 0.25) + -0.03(x + -40) = -7 (5 + 0.25x) + -0.03(x + -40) = -7 Reorder the terms: 5 + 0.25x + -0.03(-40 + x) = -7 5 + 0.25x + (-40 * -0.03 + x * -0.03) = -7 5 + 0.25x + (1.2 + -0.03x) = -7 Reorder the terms: 5 + 1.2 + 0.25x + -0.03x = -7 Combine like terms: 5 + 1.2 = 6.2 6.2 + 0.25x + -0.03x = -7 Combine like terms: 0.25x + -0.03x = 0.22x 6.2 + 0.22x = -7 Solving 6.2 + 0.22x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2' to each side of the equation. 6.2 + -6.2 + 0.22x = -7 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 0.22x = -7 + -6.2 0.22x = -7 + -6.2 Combine like terms: -7 + -6.2 = -13.2 0.22x = -13.2 Divide each side by '0.22'. x = -60 Simplifying x = -60
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