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