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Simplifying 3(5x + -1) = 4(3x + 2) + 1 Reorder the terms: 3(-1 + 5x) = 4(3x + 2) + 1 (-1 * 3 + 5x * 3) = 4(3x + 2) + 1 (-3 + 15x) = 4(3x + 2) + 1 Reorder the terms: -3 + 15x = 4(2 + 3x) + 1 -3 + 15x = (2 * 4 + 3x * 4) + 1 -3 + 15x = (8 + 12x) + 1 Reorder the terms: -3 + 15x = 8 + 1 + 12x Combine like terms: 8 + 1 = 9 -3 + 15x = 9 + 12x Solving -3 + 15x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 15x + -12x = 9 + 12x + -12x Combine like terms: 15x + -12x = 3x -3 + 3x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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