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Simplifying 4(3x + -5) = 9(4x + 2) Reorder the terms: 4(-5 + 3x) = 9(4x + 2) (-5 * 4 + 3x * 4) = 9(4x + 2) (-20 + 12x) = 9(4x + 2) Reorder the terms: -20 + 12x = 9(2 + 4x) -20 + 12x = (2 * 9 + 4x * 9) -20 + 12x = (18 + 36x) Solving -20 + 12x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -20 + 12x + -36x = 18 + 36x + -36x Combine like terms: 12x + -36x = -24x -20 + -24x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 -20 + -24x = 18 + 0 -20 + -24x = 18 Add '20' to each side of the equation. -20 + 20 + -24x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -24x = 18 + 20 -24x = 18 + 20 Combine like terms: 18 + 20 = 38 -24x = 38 Divide each side by '-24'. x = -1.583333333 Simplifying x = -1.583333333
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