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Simplifying 8(2x + 5) = 7(x + 3) + 11 Reorder the terms: 8(5 + 2x) = 7(x + 3) + 11 (5 * 8 + 2x * 8) = 7(x + 3) + 11 (40 + 16x) = 7(x + 3) + 11 Reorder the terms: 40 + 16x = 7(3 + x) + 11 40 + 16x = (3 * 7 + x * 7) + 11 40 + 16x = (21 + 7x) + 11 Reorder the terms: 40 + 16x = 21 + 11 + 7x Combine like terms: 21 + 11 = 32 40 + 16x = 32 + 7x Solving 40 + 16x = 32 + 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. 40 + 16x + -7x = 32 + 7x + -7x Combine like terms: 16x + -7x = 9x 40 + 9x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 9x = 32 + 0 40 + 9x = 32 Add '-40' to each side of the equation. 40 + -40 + 9x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 9x = 32 + -40 9x = 32 + -40 Combine like terms: 32 + -40 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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