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Simplifying 32 + 6x = 8(x + 3) Reorder the terms: 32 + 6x = 8(3 + x) 32 + 6x = (3 * 8 + x * 8) 32 + 6x = (24 + 8x) Solving 32 + 6x = 24 + 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 + 6x + -8x = 24 + 8x + -8x Combine like terms: 6x + -8x = -2x 32 + -2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -2x = 24 + 0 32 + -2x = 24 Add '-32' to each side of the equation. 32 + -32 + -2x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 24 + -32 -2x = 24 + -32 Combine like terms: 24 + -32 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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