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Simplifying 0.25(12x + 36) + -0.4(25x + -30) = 50 Reorder the terms: 0.25(36 + 12x) + -0.4(25x + -30) = 50 (36 * 0.25 + 12x * 0.25) + -0.4(25x + -30) = 50 (9 + 3x) + -0.4(25x + -30) = 50 Reorder the terms: 9 + 3x + -0.4(-30 + 25x) = 50 9 + 3x + (-30 * -0.4 + 25x * -0.4) = 50 9 + 3x + (12 + -10x) = 50 Reorder the terms: 9 + 12 + 3x + -10x = 50 Combine like terms: 9 + 12 = 21 21 + 3x + -10x = 50 Combine like terms: 3x + -10x = -7x 21 + -7x = 50 Solving 21 + -7x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7x = 50 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 50 + -21 -7x = 50 + -21 Combine like terms: 50 + -21 = 29 -7x = 29 Divide each side by '-7'. x = -4.142857143 Simplifying x = -4.142857143
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