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Simplifying 3(4x + -1) + -4 = 9x + 8 Reorder the terms: 3(-1 + 4x) + -4 = 9x + 8 (-1 * 3 + 4x * 3) + -4 = 9x + 8 (-3 + 12x) + -4 = 9x + 8 Reorder the terms: -3 + -4 + 12x = 9x + 8 Combine like terms: -3 + -4 = -7 -7 + 12x = 9x + 8 Reorder the terms: -7 + 12x = 8 + 9x Solving -7 + 12x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 12x + -9x = 8 + 9x + -9x Combine like terms: 12x + -9x = 3x -7 + 3x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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