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Simplifying 3(2x + -4) = 9 + -3(x + -5) Reorder the terms: 3(-4 + 2x) = 9 + -3(x + -5) (-4 * 3 + 2x * 3) = 9 + -3(x + -5) (-12 + 6x) = 9 + -3(x + -5) Reorder the terms: -12 + 6x = 9 + -3(-5 + x) -12 + 6x = 9 + (-5 * -3 + x * -3) -12 + 6x = 9 + (15 + -3x) Combine like terms: 9 + 15 = 24 -12 + 6x = 24 + -3x Solving -12 + 6x = 24 + -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. -12 + 6x + 3x = 24 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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