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Simplifying 7(x + 2) + 3(2x + 5) = 6(2x + 1) Reorder the terms: 7(2 + x) + 3(2x + 5) = 6(2x + 1) (2 * 7 + x * 7) + 3(2x + 5) = 6(2x + 1) (14 + 7x) + 3(2x + 5) = 6(2x + 1) Reorder the terms: 14 + 7x + 3(5 + 2x) = 6(2x + 1) 14 + 7x + (5 * 3 + 2x * 3) = 6(2x + 1) 14 + 7x + (15 + 6x) = 6(2x + 1) Reorder the terms: 14 + 15 + 7x + 6x = 6(2x + 1) Combine like terms: 14 + 15 = 29 29 + 7x + 6x = 6(2x + 1) Combine like terms: 7x + 6x = 13x 29 + 13x = 6(2x + 1) Reorder the terms: 29 + 13x = 6(1 + 2x) 29 + 13x = (1 * 6 + 2x * 6) 29 + 13x = (6 + 12x) Solving 29 + 13x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 29 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x 29 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 29 + 1x = 6 + 0 29 + 1x = 6 Add '-29' to each side of the equation. 29 + -29 + 1x = 6 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 6 + -29 1x = 6 + -29 Combine like terms: 6 + -29 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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