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