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Simplifying 20 + 9(4x + -4) = 10(2x + -1) Reorder the terms: 20 + 9(-4 + 4x) = 10(2x + -1) 20 + (-4 * 9 + 4x * 9) = 10(2x + -1) 20 + (-36 + 36x) = 10(2x + -1) Combine like terms: 20 + -36 = -16 -16 + 36x = 10(2x + -1) Reorder the terms: -16 + 36x = 10(-1 + 2x) -16 + 36x = (-1 * 10 + 2x * 10) -16 + 36x = (-10 + 20x) Solving -16 + 36x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 36x + -20x = -10 + 20x + -20x Combine like terms: 36x + -20x = 16x -16 + 16x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + 16x = -10 + 0 -16 + 16x = -10 Add '16' to each side of the equation. -16 + 16 + 16x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = -10 + 16 16x = -10 + 16 Combine like terms: -10 + 16 = 6 16x = 6 Divide each side by '16'. x = 0.375 Simplifying x = 0.375
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