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Simplifying 2(4x + -1) + x = 3(4x + 5) + -11 Reorder the terms: 2(-1 + 4x) + x = 3(4x + 5) + -11 (-1 * 2 + 4x * 2) + x = 3(4x + 5) + -11 (-2 + 8x) + x = 3(4x + 5) + -11 Combine like terms: 8x + x = 9x -2 + 9x = 3(4x + 5) + -11 Reorder the terms: -2 + 9x = 3(5 + 4x) + -11 -2 + 9x = (5 * 3 + 4x * 3) + -11 -2 + 9x = (15 + 12x) + -11 Reorder the terms: -2 + 9x = 15 + -11 + 12x Combine like terms: 15 + -11 = 4 -2 + 9x = 4 + 12x Solving -2 + 9x = 4 + 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. -2 + 9x + -12x = 4 + 12x + -12x Combine like terms: 9x + -12x = -3x -2 + -3x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -3x = 4 + 0 -2 + -3x = 4 Add '2' to each side of the equation. -2 + 2 + -3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 4 + 2 -3x = 4 + 2 Combine like terms: 4 + 2 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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