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Simplifying 3(4x + -1) = 5(3x + 2) + -1x Reorder the terms: 3(-1 + 4x) = 5(3x + 2) + -1x (-1 * 3 + 4x * 3) = 5(3x + 2) + -1x (-3 + 12x) = 5(3x + 2) + -1x Reorder the terms: -3 + 12x = 5(2 + 3x) + -1x -3 + 12x = (2 * 5 + 3x * 5) + -1x -3 + 12x = (10 + 15x) + -1x Combine like terms: 15x + -1x = 14x -3 + 12x = 10 + 14x Solving -3 + 12x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 12x + -14x = 10 + 14x + -14x Combine like terms: 12x + -14x = -2x -3 + -2x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + -2x = 10 + 0 -3 + -2x = 10 Add '3' to each side of the equation. -3 + 3 + -2x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 10 + 3 -2x = 10 + 3 Combine like terms: 10 + 3 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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