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Simplifying 3(4x + -1) + -2(3x + 1) = x + 15 Reorder the terms: 3(-1 + 4x) + -2(3x + 1) = x + 15 (-1 * 3 + 4x * 3) + -2(3x + 1) = x + 15 (-3 + 12x) + -2(3x + 1) = x + 15 Reorder the terms: -3 + 12x + -2(1 + 3x) = x + 15 -3 + 12x + (1 * -2 + 3x * -2) = x + 15 -3 + 12x + (-2 + -6x) = x + 15 Reorder the terms: -3 + -2 + 12x + -6x = x + 15 Combine like terms: -3 + -2 = -5 -5 + 12x + -6x = x + 15 Combine like terms: 12x + -6x = 6x -5 + 6x = x + 15 Reorder the terms: -5 + 6x = 15 + x Solving -5 + 6x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 6x + -1x = 15 + x + -1x Combine like terms: 6x + -1x = 5x -5 + 5x = 15 + x + -1x Combine like terms: x + -1x = 0 -5 + 5x = 15 + 0 -5 + 5x = 15 Add '5' to each side of the equation. -5 + 5 + 5x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 15 + 5 5x = 15 + 5 Combine like terms: 15 + 5 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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