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Simplifying 3(2x + 1) + 4 = 7x + 2 Reorder the terms: 3(1 + 2x) + 4 = 7x + 2 (1 * 3 + 2x * 3) + 4 = 7x + 2 (3 + 6x) + 4 = 7x + 2 Reorder the terms: 3 + 4 + 6x = 7x + 2 Combine like terms: 3 + 4 = 7 7 + 6x = 7x + 2 Reorder the terms: 7 + 6x = 2 + 7x Solving 7 + 6x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 6x + -7x = 2 + 7x + -7x Combine like terms: 6x + -7x = -1x 7 + -1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -1x = 2 + 0 7 + -1x = 2 Add '-7' to each side of the equation. 7 + -7 + -1x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 2 + -7 -1x = 2 + -7 Combine like terms: 2 + -7 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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