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Simplifying 3(4x + 4) = 2x + 22 Reorder the terms: 3(4 + 4x) = 2x + 22 (4 * 3 + 4x * 3) = 2x + 22 (12 + 12x) = 2x + 22 Reorder the terms: 12 + 12x = 22 + 2x Solving 12 + 12x = 22 + 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 + 12x + -2x = 22 + 2x + -2x Combine like terms: 12x + -2x = 10x 12 + 10x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 10x = 22 + 0 12 + 10x = 22 Add '-12' to each side of the equation. 12 + -12 + 10x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 22 + -12 10x = 22 + -12 Combine like terms: 22 + -12 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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