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Simplifying 12x + -42 = 8x + -18 Reorder the terms: -42 + 12x = 8x + -18 Reorder the terms: -42 + 12x = -18 + 8x Solving -42 + 12x = -18 + 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. -42 + 12x + -8x = -18 + 8x + -8x Combine like terms: 12x + -8x = 4x -42 + 4x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + 4x = -18 + 0 -42 + 4x = -18 Add '42' to each side of the equation. -42 + 42 + 4x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -18 + 42 4x = -18 + 42 Combine like terms: -18 + 42 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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