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Simplifying 7(x + 4) + 2 = (x + -6) Reorder the terms: 7(4 + x) + 2 = (x + -6) (4 * 7 + x * 7) + 2 = (x + -6) (28 + 7x) + 2 = (x + -6) Reorder the terms: 28 + 2 + 7x = (x + -6) Combine like terms: 28 + 2 = 30 30 + 7x = (x + -6) Reorder the terms: 30 + 7x = (-6 + x) Remove parenthesis around (-6 + x) 30 + 7x = -6 + x Solving 30 + 7x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 7x + -1x = -6 + x + -1x Combine like terms: 7x + -1x = 6x 30 + 6x = -6 + x + -1x Combine like terms: x + -1x = 0 30 + 6x = -6 + 0 30 + 6x = -6 Add '-30' to each side of the equation. 30 + -30 + 6x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -6 + -30 6x = -6 + -30 Combine like terms: -6 + -30 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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