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Simplifying 6(x + -4) + 3x = -1(3x + -4) + -4 Reorder the terms: 6(-4 + x) + 3x = -1(3x + -4) + -4 (-4 * 6 + x * 6) + 3x = -1(3x + -4) + -4 (-24 + 6x) + 3x = -1(3x + -4) + -4 Combine like terms: 6x + 3x = 9x -24 + 9x = -1(3x + -4) + -4 Reorder the terms: -24 + 9x = -1(-4 + 3x) + -4 -24 + 9x = (-4 * -1 + 3x * -1) + -4 -24 + 9x = (4 + -3x) + -4 Reorder the terms: -24 + 9x = 4 + -4 + -3x Combine like terms: 4 + -4 = 0 -24 + 9x = 0 + -3x -24 + 9x = -3x Solving -24 + 9x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 9x + 3x = -3x + 3x Combine like terms: 9x + 3x = 12x -24 + 12x = -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 12x = 0 Add '24' to each side of the equation. -24 + 24 + 12x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 0 + 24 12x = 0 + 24 Combine like terms: 0 + 24 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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