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Simplifying 4(-5x + -9) = 4(6x + 3) Reorder the terms: 4(-9 + -5x) = 4(6x + 3) (-9 * 4 + -5x * 4) = 4(6x + 3) (-36 + -20x) = 4(6x + 3) Reorder the terms: -36 + -20x = 4(3 + 6x) -36 + -20x = (3 * 4 + 6x * 4) -36 + -20x = (12 + 24x) Solving -36 + -20x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -36 + -20x + -24x = 12 + 24x + -24x Combine like terms: -20x + -24x = -44x -36 + -44x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -36 + -44x = 12 + 0 -36 + -44x = 12 Add '36' to each side of the equation. -36 + 36 + -44x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -44x = 12 + 36 -44x = 12 + 36 Combine like terms: 12 + 36 = 48 -44x = 48 Divide each side by '-44'. x = -1.090909091 Simplifying x = -1.090909091
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