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Simplifying 4(3x + -2) + -1 = 5(2x + -1) Reorder the terms: 4(-2 + 3x) + -1 = 5(2x + -1) (-2 * 4 + 3x * 4) + -1 = 5(2x + -1) (-8 + 12x) + -1 = 5(2x + -1) Reorder the terms: -8 + -1 + 12x = 5(2x + -1) Combine like terms: -8 + -1 = -9 -9 + 12x = 5(2x + -1) Reorder the terms: -9 + 12x = 5(-1 + 2x) -9 + 12x = (-1 * 5 + 2x * 5) -9 + 12x = (-5 + 10x) Solving -9 + 12x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 12x + -10x = -5 + 10x + -10x Combine like terms: 12x + -10x = 2x -9 + 2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 2x = -5 + 0 -9 + 2x = -5 Add '9' to each side of the equation. -9 + 9 + 2x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -5 + 9 2x = -5 + 9 Combine like terms: -5 + 9 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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