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Simplifying 4(3x + -2) = 9(x + -4) + -8 Reorder the terms: 4(-2 + 3x) = 9(x + -4) + -8 (-2 * 4 + 3x * 4) = 9(x + -4) + -8 (-8 + 12x) = 9(x + -4) + -8 Reorder the terms: -8 + 12x = 9(-4 + x) + -8 -8 + 12x = (-4 * 9 + x * 9) + -8 -8 + 12x = (-36 + 9x) + -8 Reorder the terms: -8 + 12x = -36 + -8 + 9x Combine like terms: -36 + -8 = -44 -8 + 12x = -44 + 9x Solving -8 + 12x = -44 + 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. -8 + 12x + -9x = -44 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = -44 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = -44 + 0 -8 + 3x = -44 Add '8' to each side of the equation. -8 + 8 + 3x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -44 + 8 3x = -44 + 8 Combine like terms: -44 + 8 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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