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Simplifying 7x + 6(x + 6) = -8 + 6(3x + 4) Reorder the terms: 7x + 6(6 + x) = -8 + 6(3x + 4) 7x + (6 * 6 + x * 6) = -8 + 6(3x + 4) 7x + (36 + 6x) = -8 + 6(3x + 4) Reorder the terms: 36 + 7x + 6x = -8 + 6(3x + 4) Combine like terms: 7x + 6x = 13x 36 + 13x = -8 + 6(3x + 4) Reorder the terms: 36 + 13x = -8 + 6(4 + 3x) 36 + 13x = -8 + (4 * 6 + 3x * 6) 36 + 13x = -8 + (24 + 18x) Combine like terms: -8 + 24 = 16 36 + 13x = 16 + 18x Solving 36 + 13x = 16 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + 13x + -18x = 16 + 18x + -18x Combine like terms: 13x + -18x = -5x 36 + -5x = 16 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + -5x = 16 + 0 36 + -5x = 16 Add '-36' to each side of the equation. 36 + -36 + -5x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 16 + -36 -5x = 16 + -36 Combine like terms: 16 + -36 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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