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Simplifying 4(-4x + -9) = 4(7x + 2) Reorder the terms: 4(-9 + -4x) = 4(7x + 2) (-9 * 4 + -4x * 4) = 4(7x + 2) (-36 + -16x) = 4(7x + 2) Reorder the terms: -36 + -16x = 4(2 + 7x) -36 + -16x = (2 * 4 + 7x * 4) -36 + -16x = (8 + 28x) Solving -36 + -16x = 8 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -36 + -16x + -28x = 8 + 28x + -28x Combine like terms: -16x + -28x = -44x -36 + -44x = 8 + 28x + -28x Combine like terms: 28x + -28x = 0 -36 + -44x = 8 + 0 -36 + -44x = 8 Add '36' to each side of the equation. -36 + 36 + -44x = 8 + 36 Combine like terms: -36 + 36 = 0 0 + -44x = 8 + 36 -44x = 8 + 36 Combine like terms: 8 + 36 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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