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Simplifying 2(4x + 5) + -4(7x + -3) = 18 Reorder the terms: 2(5 + 4x) + -4(7x + -3) = 18 (5 * 2 + 4x * 2) + -4(7x + -3) = 18 (10 + 8x) + -4(7x + -3) = 18 Reorder the terms: 10 + 8x + -4(-3 + 7x) = 18 10 + 8x + (-3 * -4 + 7x * -4) = 18 10 + 8x + (12 + -28x) = 18 Reorder the terms: 10 + 12 + 8x + -28x = 18 Combine like terms: 10 + 12 = 22 22 + 8x + -28x = 18 Combine like terms: 8x + -28x = -20x 22 + -20x = 18 Solving 22 + -20x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -20x = 18 + -22 Combine like terms: 22 + -22 = 0 0 + -20x = 18 + -22 -20x = 18 + -22 Combine like terms: 18 + -22 = -4 -20x = -4 Divide each side by '-20'. x = 0.2 Simplifying x = 0.2
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