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Simplifying 4(2x + -5) = 3(3x + 2) Reorder the terms: 4(-5 + 2x) = 3(3x + 2) (-5 * 4 + 2x * 4) = 3(3x + 2) (-20 + 8x) = 3(3x + 2) Reorder the terms: -20 + 8x = 3(2 + 3x) -20 + 8x = (2 * 3 + 3x * 3) -20 + 8x = (6 + 9x) Solving -20 + 8x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 8x + -9x = 6 + 9x + -9x Combine like terms: 8x + -9x = -1x -20 + -1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -1x = 6 + 0 -20 + -1x = 6 Add '20' to each side of the equation. -20 + 20 + -1x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 6 + 20 -1x = 6 + 20 Combine like terms: 6 + 20 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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