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