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Simplifying 4(2x + 3) = 2x + 32 Reorder the terms: 4(3 + 2x) = 2x + 32 (3 * 4 + 2x * 4) = 2x + 32 (12 + 8x) = 2x + 32 Reorder the terms: 12 + 8x = 32 + 2x Solving 12 + 8x = 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. 12 + 8x + -2x = 32 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = 32 + 0 12 + 6x = 32 Add '-12' to each side of the equation. 12 + -12 + 6x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 32 + -12 6x = 32 + -12 Combine like terms: 32 + -12 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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