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Simplifying 4(3x + -1) + -6 = 9x + 8 Reorder the terms: 4(-1 + 3x) + -6 = 9x + 8 (-1 * 4 + 3x * 4) + -6 = 9x + 8 (-4 + 12x) + -6 = 9x + 8 Reorder the terms: -4 + -6 + 12x = 9x + 8 Combine like terms: -4 + -6 = -10 -10 + 12x = 9x + 8 Reorder the terms: -10 + 12x = 8 + 9x Solving -10 + 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. -10 + 12x + -9x = 8 + 9x + -9x Combine like terms: 12x + -9x = 3x -10 + 3x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 3x = 8 + 0 -10 + 3x = 8 Add '10' to each side of the equation. -10 + 10 + 3x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 8 + 10 3x = 8 + 10 Combine like terms: 8 + 10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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