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Simplifying -8(x + 12) + 42 = 12 + -3x Reorder the terms: -8(12 + x) + 42 = 12 + -3x (12 * -8 + x * -8) + 42 = 12 + -3x (-96 + -8x) + 42 = 12 + -3x Reorder the terms: -96 + 42 + -8x = 12 + -3x Combine like terms: -96 + 42 = -54 -54 + -8x = 12 + -3x Solving -54 + -8x = 12 + -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. -54 + -8x + 3x = 12 + -3x + 3x Combine like terms: -8x + 3x = -5x -54 + -5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -54 + -5x = 12 + 0 -54 + -5x = 12 Add '54' to each side of the equation. -54 + 54 + -5x = 12 + 54 Combine like terms: -54 + 54 = 0 0 + -5x = 12 + 54 -5x = 12 + 54 Combine like terms: 12 + 54 = 66 -5x = 66 Divide each side by '-5'. x = -13.2 Simplifying x = -13.2
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