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Simplifying 6(6x + -7) = 2x + 26 Reorder the terms: 6(-7 + 6x) = 2x + 26 (-7 * 6 + 6x * 6) = 2x + 26 (-42 + 36x) = 2x + 26 Reorder the terms: -42 + 36x = 26 + 2x Solving -42 + 36x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 36x + -2x = 26 + 2x + -2x Combine like terms: 36x + -2x = 34x -42 + 34x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 34x = 26 + 0 -42 + 34x = 26 Add '42' to each side of the equation. -42 + 42 + 34x = 26 + 42 Combine like terms: -42 + 42 = 0 0 + 34x = 26 + 42 34x = 26 + 42 Combine like terms: 26 + 42 = 68 34x = 68 Divide each side by '34'. x = 2 Simplifying x = 2
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