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Simplifying 3(x + -4) = -9(x + -4) Reorder the terms: 3(-4 + x) = -9(x + -4) (-4 * 3 + x * 3) = -9(x + -4) (-12 + 3x) = -9(x + -4) Reorder the terms: -12 + 3x = -9(-4 + x) -12 + 3x = (-4 * -9 + x * -9) -12 + 3x = (36 + -9x) Solving -12 + 3x = 36 + -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. -12 + 3x + 9x = 36 + -9x + 9x Combine like terms: 3x + 9x = 12x -12 + 12x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 12x = 36 + 0 -12 + 12x = 36 Add '12' to each side of the equation. -12 + 12 + 12x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 36 + 12 12x = 36 + 12 Combine like terms: 36 + 12 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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