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Simplifying 4(x + 8) + x = 2(x + 5) + 6 Reorder the terms: 4(8 + x) + x = 2(x + 5) + 6 (8 * 4 + x * 4) + x = 2(x + 5) + 6 (32 + 4x) + x = 2(x + 5) + 6 Combine like terms: 4x + x = 5x 32 + 5x = 2(x + 5) + 6 Reorder the terms: 32 + 5x = 2(5 + x) + 6 32 + 5x = (5 * 2 + x * 2) + 6 32 + 5x = (10 + 2x) + 6 Reorder the terms: 32 + 5x = 10 + 6 + 2x Combine like terms: 10 + 6 = 16 32 + 5x = 16 + 2x Solving 32 + 5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x 32 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 3x = 16 + 0 32 + 3x = 16 Add '-32' to each side of the equation. 32 + -32 + 3x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 16 + -32 3x = 16 + -32 Combine like terms: 16 + -32 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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