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Simplifying 7(x + 2) + 16 = 6(x + 3) + 15 Reorder the terms: 7(2 + x) + 16 = 6(x + 3) + 15 (2 * 7 + x * 7) + 16 = 6(x + 3) + 15 (14 + 7x) + 16 = 6(x + 3) + 15 Reorder the terms: 14 + 16 + 7x = 6(x + 3) + 15 Combine like terms: 14 + 16 = 30 30 + 7x = 6(x + 3) + 15 Reorder the terms: 30 + 7x = 6(3 + x) + 15 30 + 7x = (3 * 6 + x * 6) + 15 30 + 7x = (18 + 6x) + 15 Reorder the terms: 30 + 7x = 18 + 15 + 6x Combine like terms: 18 + 15 = 33 30 + 7x = 33 + 6x Solving 30 + 7x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 7x + -6x = 33 + 6x + -6x Combine like terms: 7x + -6x = 1x 30 + 1x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 1x = 33 + 0 30 + 1x = 33 Add '-30' to each side of the equation. 30 + -30 + 1x = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 33 + -30 1x = 33 + -30 Combine like terms: 33 + -30 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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