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Simplifying 4(3x + -1) = 2(2x + 1) + x + 15 Reorder the terms: 4(-1 + 3x) = 2(2x + 1) + x + 15 (-1 * 4 + 3x * 4) = 2(2x + 1) + x + 15 (-4 + 12x) = 2(2x + 1) + x + 15 Reorder the terms: -4 + 12x = 2(1 + 2x) + x + 15 -4 + 12x = (1 * 2 + 2x * 2) + x + 15 -4 + 12x = (2 + 4x) + x + 15 Reorder the terms: -4 + 12x = 2 + 15 + 4x + x Combine like terms: 2 + 15 = 17 -4 + 12x = 17 + 4x + x Combine like terms: 4x + x = 5x -4 + 12x = 17 + 5x Solving -4 + 12x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 12x + -5x = 17 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = 17 + 0 -4 + 7x = 17 Add '4' to each side of the equation. -4 + 4 + 7x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 17 + 4 7x = 17 + 4 Combine like terms: 17 + 4 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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