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Simplifying -42 = 6x + 6(-7x + 23) Reorder the terms: -42 = 6x + 6(23 + -7x) -42 = 6x + (23 * 6 + -7x * 6) -42 = 6x + (138 + -42x) Reorder the terms: -42 = 138 + 6x + -42x Combine like terms: 6x + -42x = -36x -42 = 138 + -36x Solving -42 = 138 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -42 + 36x = 138 + -36x + 36x Combine like terms: -36x + 36x = 0 -42 + 36x = 138 + 0 -42 + 36x = 138 Add '42' to each side of the equation. -42 + 42 + 36x = 138 + 42 Combine like terms: -42 + 42 = 0 0 + 36x = 138 + 42 36x = 138 + 42 Combine like terms: 138 + 42 = 180 36x = 180 Divide each side by '36'. x = 5 Simplifying x = 5
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