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Simplifying 3x + 4(1x + 3) = 5x + 2 Reorder the terms: 3x + 4(3 + 1x) = 5x + 2 3x + (3 * 4 + 1x * 4) = 5x + 2 3x + (12 + 4x) = 5x + 2 Reorder the terms: 12 + 3x + 4x = 5x + 2 Combine like terms: 3x + 4x = 7x 12 + 7x = 5x + 2 Reorder the terms: 12 + 7x = 2 + 5x Solving 12 + 7x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 7x + -5x = 2 + 5x + -5x Combine like terms: 7x + -5x = 2x 12 + 2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 2x = 2 + 0 12 + 2x = 2 Add '-12' to each side of the equation. 12 + -12 + 2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 2 + -12 2x = 2 + -12 Combine like terms: 2 + -12 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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