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Simplifying 4(2x + 8) = 5x + 11 Reorder the terms: 4(8 + 2x) = 5x + 11 (8 * 4 + 2x * 4) = 5x + 11 (32 + 8x) = 5x + 11 Reorder the terms: 32 + 8x = 11 + 5x Solving 32 + 8x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 8x + -5x = 11 + 5x + -5x Combine like terms: 8x + -5x = 3x 32 + 3x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 3x = 11 + 0 32 + 3x = 11 Add '-32' to each side of the equation. 32 + -32 + 3x = 11 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 11 + -32 3x = 11 + -32 Combine like terms: 11 + -32 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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