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Simplifying 7x + 2 = 6(x + -6) + 8 Reorder the terms: 2 + 7x = 6(x + -6) + 8 Reorder the terms: 2 + 7x = 6(-6 + x) + 8 2 + 7x = (-6 * 6 + x * 6) + 8 2 + 7x = (-36 + 6x) + 8 Reorder the terms: 2 + 7x = -36 + 8 + 6x Combine like terms: -36 + 8 = -28 2 + 7x = -28 + 6x Solving 2 + 7x = -28 + 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 = -28 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -28 + 0 2 + 1x = -28 Add '-2' to each side of the equation. 2 + -2 + 1x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -28 + -2 1x = -28 + -2 Combine like terms: -28 + -2 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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