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Simplifying 7(x + 4) + 2 = -1(x + -6) Reorder the terms: 7(4 + x) + 2 = -1(x + -6) (4 * 7 + x * 7) + 2 = -1(x + -6) (28 + 7x) + 2 = -1(x + -6) Reorder the terms: 28 + 2 + 7x = -1(x + -6) Combine like terms: 28 + 2 = 30 30 + 7x = -1(x + -6) Reorder the terms: 30 + 7x = -1(-6 + x) 30 + 7x = (-6 * -1 + x * -1) 30 + 7x = (6 + -1x) Solving 30 + 7x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + 7x + x = 6 + -1x + x Combine like terms: 7x + x = 8x 30 + 8x = 6 + -1x + x Combine like terms: -1x + x = 0 30 + 8x = 6 + 0 30 + 8x = 6 Add '-30' to each side of the equation. 30 + -30 + 8x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 6 + -30 8x = 6 + -30 Combine like terms: 6 + -30 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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