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Simplifying 32 = 2(4 + 3x + x + 6) Reorder the terms: 32 = 2(4 + 6 + 3x + x) Combine like terms: 4 + 6 = 10 32 = 2(10 + 3x + x) Combine like terms: 3x + x = 4x 32 = 2(10 + 4x) 32 = (10 * 2 + 4x * 2) 32 = (20 + 8x) Solving 32 = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + -8x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -8x = 20 + 0 32 + -8x = 20 Add '-32' to each side of the equation. 32 + -32 + -8x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 20 + -32 -8x = 20 + -32 Combine like terms: 20 + -32 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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