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Simplifying 3(4x + -5) + -2 = 2(7 + -4x) + -9 Reorder the terms: 3(-5 + 4x) + -2 = 2(7 + -4x) + -9 (-5 * 3 + 4x * 3) + -2 = 2(7 + -4x) + -9 (-15 + 12x) + -2 = 2(7 + -4x) + -9 Reorder the terms: -15 + -2 + 12x = 2(7 + -4x) + -9 Combine like terms: -15 + -2 = -17 -17 + 12x = 2(7 + -4x) + -9 -17 + 12x = (7 * 2 + -4x * 2) + -9 -17 + 12x = (14 + -8x) + -9 Reorder the terms: -17 + 12x = 14 + -9 + -8x Combine like terms: 14 + -9 = 5 -17 + 12x = 5 + -8x Solving -17 + 12x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -17 + 12x + 8x = 5 + -8x + 8x Combine like terms: 12x + 8x = 20x -17 + 20x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 20x = 5 + 0 -17 + 20x = 5 Add '17' to each side of the equation. -17 + 17 + 20x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 20x = 5 + 17 20x = 5 + 17 Combine like terms: 5 + 17 = 22 20x = 22 Divide each side by '20'. x = 1.1 Simplifying x = 1.1
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