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Simplifying 3(4x + -1) + -1(3x + 2) = 4(x + 2) Reorder the terms: 3(-1 + 4x) + -1(3x + 2) = 4(x + 2) (-1 * 3 + 4x * 3) + -1(3x + 2) = 4(x + 2) (-3 + 12x) + -1(3x + 2) = 4(x + 2) Reorder the terms: -3 + 12x + -1(2 + 3x) = 4(x + 2) -3 + 12x + (2 * -1 + 3x * -1) = 4(x + 2) -3 + 12x + (-2 + -3x) = 4(x + 2) Reorder the terms: -3 + -2 + 12x + -3x = 4(x + 2) Combine like terms: -3 + -2 = -5 -5 + 12x + -3x = 4(x + 2) Combine like terms: 12x + -3x = 9x -5 + 9x = 4(x + 2) Reorder the terms: -5 + 9x = 4(2 + x) -5 + 9x = (2 * 4 + x * 4) -5 + 9x = (8 + 4x) Solving -5 + 9x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 9x + -4x = 8 + 4x + -4x Combine like terms: 9x + -4x = 5x -5 + 5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 5x = 8 + 0 -5 + 5x = 8 Add '5' to each side of the equation. -5 + 5 + 5x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 8 + 5 5x = 8 + 5 Combine like terms: 8 + 5 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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