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Simplifying 12(x + -4) = 3(x + -24) Reorder the terms: 12(-4 + x) = 3(x + -24) (-4 * 12 + x * 12) = 3(x + -24) (-48 + 12x) = 3(x + -24) Reorder the terms: -48 + 12x = 3(-24 + x) -48 + 12x = (-24 * 3 + x * 3) -48 + 12x = (-72 + 3x) Solving -48 + 12x = -72 + 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. -48 + 12x + -3x = -72 + 3x + -3x Combine like terms: 12x + -3x = 9x -48 + 9x = -72 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 9x = -72 + 0 -48 + 9x = -72 Add '48' to each side of the equation. -48 + 48 + 9x = -72 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = -72 + 48 9x = -72 + 48 Combine like terms: -72 + 48 = -24 9x = -24 Divide each side by '9'. x = -2.666666667 Simplifying x = -2.666666667
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