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Simplifying 32 = 4(x + 6) + -2 Reorder the terms: 32 = 4(6 + x) + -2 32 = (6 * 4 + x * 4) + -2 32 = (24 + 4x) + -2 Reorder the terms: 32 = 24 + -2 + 4x Combine like terms: 24 + -2 = 22 32 = 22 + 4x Solving 32 = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -4x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -4x = 22 + 0 32 + -4x = 22 Add '-32' to each side of the equation. 32 + -32 + -4x = 22 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 22 + -32 -4x = 22 + -32 Combine like terms: 22 + -32 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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