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Simplifying 7(x + 6) + -6x = 2(x + 10) Reorder the terms: 7(6 + x) + -6x = 2(x + 10) (6 * 7 + x * 7) + -6x = 2(x + 10) (42 + 7x) + -6x = 2(x + 10) Combine like terms: 7x + -6x = 1x 42 + 1x = 2(x + 10) Reorder the terms: 42 + 1x = 2(10 + x) 42 + 1x = (10 * 2 + x * 2) 42 + 1x = (20 + 2x) Solving 42 + 1x = 20 + 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 + 1x + -2x = 20 + 2x + -2x Combine like terms: 1x + -2x = -1x 42 + -1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -1x = 20 + 0 42 + -1x = 20 Add '-42' to each side of the equation. 42 + -42 + -1x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 20 + -42 -1x = 20 + -42 Combine like terms: 20 + -42 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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