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Simplifying 6(x + -6) + 2 = 7x Reorder the terms: 6(-6 + x) + 2 = 7x (-6 * 6 + x * 6) + 2 = 7x (-36 + 6x) + 2 = 7x Reorder the terms: -36 + 2 + 6x = 7x Combine like terms: -36 + 2 = -34 -34 + 6x = 7x Solving -34 + 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -34 + 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -34 + -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -1x = 0 Add '34' to each side of the equation. -34 + 34 + -1x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = 0 + 34 -1x = 0 + 34 Combine like terms: 0 + 34 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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