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Simplifying 3(x + -12) = 8(x + 3) Reorder the terms: 3(-12 + x) = 8(x + 3) (-12 * 3 + x * 3) = 8(x + 3) (-36 + 3x) = 8(x + 3) Reorder the terms: -36 + 3x = 8(3 + x) -36 + 3x = (3 * 8 + x * 8) -36 + 3x = (24 + 8x) Solving -36 + 3x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 3x + -8x = 24 + 8x + -8x Combine like terms: 3x + -8x = -5x -36 + -5x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -5x = 24 + 0 -36 + -5x = 24 Add '36' to each side of the equation. -36 + 36 + -5x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -5x = 24 + 36 -5x = 24 + 36 Combine like terms: 24 + 36 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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