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Simplifying 16(x + 5) = 7(x + 2) + -8 Reorder the terms: 16(5 + x) = 7(x + 2) + -8 (5 * 16 + x * 16) = 7(x + 2) + -8 (80 + 16x) = 7(x + 2) + -8 Reorder the terms: 80 + 16x = 7(2 + x) + -8 80 + 16x = (2 * 7 + x * 7) + -8 80 + 16x = (14 + 7x) + -8 Reorder the terms: 80 + 16x = 14 + -8 + 7x Combine like terms: 14 + -8 = 6 80 + 16x = 6 + 7x Solving 80 + 16x = 6 + 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. 80 + 16x + -7x = 6 + 7x + -7x Combine like terms: 16x + -7x = 9x 80 + 9x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 80 + 9x = 6 + 0 80 + 9x = 6 Add '-80' to each side of the equation. 80 + -80 + 9x = 6 + -80 Combine like terms: 80 + -80 = 0 0 + 9x = 6 + -80 9x = 6 + -80 Combine like terms: 6 + -80 = -74 9x = -74 Divide each side by '9'. x = -8.222222222 Simplifying x = -8.222222222
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