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Simplifying 7(x + 6) + x = 2(x + 3) + 2 Reorder the terms: 7(6 + x) + x = 2(x + 3) + 2 (6 * 7 + x * 7) + x = 2(x + 3) + 2 (42 + 7x) + x = 2(x + 3) + 2 Combine like terms: 7x + x = 8x 42 + 8x = 2(x + 3) + 2 Reorder the terms: 42 + 8x = 2(3 + x) + 2 42 + 8x = (3 * 2 + x * 2) + 2 42 + 8x = (6 + 2x) + 2 Reorder the terms: 42 + 8x = 6 + 2 + 2x Combine like terms: 6 + 2 = 8 42 + 8x = 8 + 2x Solving 42 + 8x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 8x + -2x = 8 + 2x + -2x Combine like terms: 8x + -2x = 6x 42 + 6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 6x = 8 + 0 42 + 6x = 8 Add '-42' to each side of the equation. 42 + -42 + 6x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 8 + -42 6x = 8 + -42 Combine like terms: 8 + -42 = -34 6x = -34 Divide each side by '6'. x = -5.666666667 Simplifying x = -5.666666667
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