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Simplifying 6(x + 1) = 2x + 32 Reorder the terms: 6(1 + x) = 2x + 32 (1 * 6 + x * 6) = 2x + 32 (6 + 6x) = 2x + 32 Reorder the terms: 6 + 6x = 32 + 2x Solving 6 + 6x = 32 + 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. 6 + 6x + -2x = 32 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = 32 + 0 6 + 4x = 32 Add '-6' to each side of the equation. 6 + -6 + 4x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 32 + -6 4x = 32 + -6 Combine like terms: 32 + -6 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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