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Simplifying 6(x + -7) = 18 + x Reorder the terms: 6(-7 + x) = 18 + x (-7 * 6 + x * 6) = 18 + x (-42 + 6x) = 18 + x Solving -42 + 6x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 6x + -1x = 18 + x + -1x Combine like terms: 6x + -1x = 5x -42 + 5x = 18 + x + -1x Combine like terms: x + -1x = 0 -42 + 5x = 18 + 0 -42 + 5x = 18 Add '42' to each side of the equation. -42 + 42 + 5x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 18 + 42 5x = 18 + 42 Combine like terms: 18 + 42 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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