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Simplifying 4(x + -9) = 4(1 + -4x) Reorder the terms: 4(-9 + x) = 4(1 + -4x) (-9 * 4 + x * 4) = 4(1 + -4x) (-36 + 4x) = 4(1 + -4x) -36 + 4x = (1 * 4 + -4x * 4) -36 + 4x = (4 + -16x) Solving -36 + 4x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -36 + 4x + 16x = 4 + -16x + 16x Combine like terms: 4x + 16x = 20x -36 + 20x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 -36 + 20x = 4 + 0 -36 + 20x = 4 Add '36' to each side of the equation. -36 + 36 + 20x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 20x = 4 + 36 20x = 4 + 36 Combine like terms: 4 + 36 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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