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Simplifying 7x + 2 = 6(x + -6) + 7 Reorder the terms: 2 + 7x = 6(x + -6) + 7 Reorder the terms: 2 + 7x = 6(-6 + x) + 7 2 + 7x = (-6 * 6 + x * 6) + 7 2 + 7x = (-36 + 6x) + 7 Reorder the terms: 2 + 7x = -36 + 7 + 6x Combine like terms: -36 + 7 = -29 2 + 7x = -29 + 6x Solving 2 + 7x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 7x + -6x = -29 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -29 + 0 2 + 1x = -29 Add '-2' to each side of the equation. 2 + -2 + 1x = -29 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -29 + -2 1x = -29 + -2 Combine like terms: -29 + -2 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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