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Simplifying 2(3 + 6x) + -5 = 7(x + 8) (3 * 2 + 6x * 2) + -5 = 7(x + 8) (6 + 12x) + -5 = 7(x + 8) Reorder the terms: 6 + -5 + 12x = 7(x + 8) Combine like terms: 6 + -5 = 1 1 + 12x = 7(x + 8) Reorder the terms: 1 + 12x = 7(8 + x) 1 + 12x = (8 * 7 + x * 7) 1 + 12x = (56 + 7x) Solving 1 + 12x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 12x + -7x = 56 + 7x + -7x Combine like terms: 12x + -7x = 5x 1 + 5x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 5x = 56 + 0 1 + 5x = 56 Add '-1' to each side of the equation. 1 + -1 + 5x = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 56 + -1 5x = 56 + -1 Combine like terms: 56 + -1 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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