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Simplifying 0.25(x + 40) + -0.02(x + -30) = 6 Reorder the terms: 0.25(40 + x) + -0.02(x + -30) = 6 (40 * 0.25 + x * 0.25) + -0.02(x + -30) = 6 (10 + 0.25x) + -0.02(x + -30) = 6 Reorder the terms: 10 + 0.25x + -0.02(-30 + x) = 6 10 + 0.25x + (-30 * -0.02 + x * -0.02) = 6 10 + 0.25x + (0.6 + -0.02x) = 6 Reorder the terms: 10 + 0.6 + 0.25x + -0.02x = 6 Combine like terms: 10 + 0.6 = 10.6 10.6 + 0.25x + -0.02x = 6 Combine like terms: 0.25x + -0.02x = 0.23x 10.6 + 0.23x = 6 Solving 10.6 + 0.23x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.6' to each side of the equation. 10.6 + -10.6 + 0.23x = 6 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + 0.23x = 6 + -10.6 0.23x = 6 + -10.6 Combine like terms: 6 + -10.6 = -4.6 0.23x = -4.6 Divide each side by '0.23'. x = -20 Simplifying x = -20
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