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Simplifying 3(x + -24) = 12 + -3(x + -4) Reorder the terms: 3(-24 + x) = 12 + -3(x + -4) (-24 * 3 + x * 3) = 12 + -3(x + -4) (-72 + 3x) = 12 + -3(x + -4) Reorder the terms: -72 + 3x = 12 + -3(-4 + x) -72 + 3x = 12 + (-4 * -3 + x * -3) -72 + 3x = 12 + (12 + -3x) Combine like terms: 12 + 12 = 24 -72 + 3x = 24 + -3x Solving -72 + 3x = 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. -72 + 3x + 3x = 24 + -3x + 3x Combine like terms: 3x + 3x = 6x -72 + 6x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -72 + 6x = 24 + 0 -72 + 6x = 24 Add '72' to each side of the equation. -72 + 72 + 6x = 24 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = 24 + 72 6x = 24 + 72 Combine like terms: 24 + 72 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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