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Simplifying 4(x + 3) + -2x = 46 Reorder the terms: 4(3 + x) + -2x = 46 (3 * 4 + x * 4) + -2x = 46 (12 + 4x) + -2x = 46 Combine like terms: 4x + -2x = 2x 12 + 2x = 46 Solving 12 + 2x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 46 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 46 + -12 2x = 46 + -12 Combine like terms: 46 + -12 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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