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Simplifying 3(4x + -1) + -1x = 5(3x + 6) + -9 Reorder the terms: 3(-1 + 4x) + -1x = 5(3x + 6) + -9 (-1 * 3 + 4x * 3) + -1x = 5(3x + 6) + -9 (-3 + 12x) + -1x = 5(3x + 6) + -9 Combine like terms: 12x + -1x = 11x -3 + 11x = 5(3x + 6) + -9 Reorder the terms: -3 + 11x = 5(6 + 3x) + -9 -3 + 11x = (6 * 5 + 3x * 5) + -9 -3 + 11x = (30 + 15x) + -9 Reorder the terms: -3 + 11x = 30 + -9 + 15x Combine like terms: 30 + -9 = 21 -3 + 11x = 21 + 15x Solving -3 + 11x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 11x + -15x = 21 + 15x + -15x Combine like terms: 11x + -15x = -4x -3 + -4x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -4x = 21 + 0 -3 + -4x = 21 Add '3' to each side of the equation. -3 + 3 + -4x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 21 + 3 -4x = 21 + 3 Combine like terms: 21 + 3 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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