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Simplifying 2(3x + 4) + -7 = 3 + 5x Reorder the terms: 2(4 + 3x) + -7 = 3 + 5x (4 * 2 + 3x * 2) + -7 = 3 + 5x (8 + 6x) + -7 = 3 + 5x Reorder the terms: 8 + -7 + 6x = 3 + 5x Combine like terms: 8 + -7 = 1 1 + 6x = 3 + 5x Solving 1 + 6x = 3 + 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. 1 + 6x + -5x = 3 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = 3 + 0 1 + 1x = 3 Add '-1' to each side of the equation. 1 + -1 + 1x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 3 + -1 1x = 3 + -1 Combine like terms: 3 + -1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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