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Simplifying 7(x + 7) = 6(2x + 6) + -15 Reorder the terms: 7(7 + x) = 6(2x + 6) + -15 (7 * 7 + x * 7) = 6(2x + 6) + -15 (49 + 7x) = 6(2x + 6) + -15 Reorder the terms: 49 + 7x = 6(6 + 2x) + -15 49 + 7x = (6 * 6 + 2x * 6) + -15 49 + 7x = (36 + 12x) + -15 Reorder the terms: 49 + 7x = 36 + -15 + 12x Combine like terms: 36 + -15 = 21 49 + 7x = 21 + 12x Solving 49 + 7x = 21 + 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. 49 + 7x + -12x = 21 + 12x + -12x Combine like terms: 7x + -12x = -5x 49 + -5x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 49 + -5x = 21 + 0 49 + -5x = 21 Add '-49' to each side of the equation. 49 + -49 + -5x = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -5x = 21 + -49 -5x = 21 + -49 Combine like terms: 21 + -49 = -28 -5x = -28 Divide each side by '-5'. x = 5.6 Simplifying x = 5.6
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