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Simplifying 9(4x + -1) = -2(1 + 10x) Reorder the terms: 9(-1 + 4x) = -2(1 + 10x) (-1 * 9 + 4x * 9) = -2(1 + 10x) (-9 + 36x) = -2(1 + 10x) -9 + 36x = (1 * -2 + 10x * -2) -9 + 36x = (-2 + -20x) Solving -9 + 36x = -2 + -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. -9 + 36x + 20x = -2 + -20x + 20x Combine like terms: 36x + 20x = 56x -9 + 56x = -2 + -20x + 20x Combine like terms: -20x + 20x = 0 -9 + 56x = -2 + 0 -9 + 56x = -2 Add '9' to each side of the equation. -9 + 9 + 56x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 56x = -2 + 9 56x = -2 + 9 Combine like terms: -2 + 9 = 7 56x = 7 Divide each side by '56'. x = 0.125 Simplifying x = 0.125
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