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Simplifying 3(4x + -5) + -2 = 5(1 + -7x) Reorder the terms: 3(-5 + 4x) + -2 = 5(1 + -7x) (-5 * 3 + 4x * 3) + -2 = 5(1 + -7x) (-15 + 12x) + -2 = 5(1 + -7x) Reorder the terms: -15 + -2 + 12x = 5(1 + -7x) Combine like terms: -15 + -2 = -17 -17 + 12x = 5(1 + -7x) -17 + 12x = (1 * 5 + -7x * 5) -17 + 12x = (5 + -35x) Solving -17 + 12x = 5 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -17 + 12x + 35x = 5 + -35x + 35x Combine like terms: 12x + 35x = 47x -17 + 47x = 5 + -35x + 35x Combine like terms: -35x + 35x = 0 -17 + 47x = 5 + 0 -17 + 47x = 5 Add '17' to each side of the equation. -17 + 17 + 47x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 47x = 5 + 17 47x = 5 + 17 Combine like terms: 5 + 17 = 22 47x = 22 Divide each side by '47'. x = 0.4680851064 Simplifying x = 0.4680851064
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