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Simplifying 7x + 4 = 3(2x + 1) + -1x + 6 Reorder the terms: 4 + 7x = 3(2x + 1) + -1x + 6 Reorder the terms: 4 + 7x = 3(1 + 2x) + -1x + 6 4 + 7x = (1 * 3 + 2x * 3) + -1x + 6 4 + 7x = (3 + 6x) + -1x + 6 Reorder the terms: 4 + 7x = 3 + 6 + 6x + -1x Combine like terms: 3 + 6 = 9 4 + 7x = 9 + 6x + -1x Combine like terms: 6x + -1x = 5x 4 + 7x = 9 + 5x Solving 4 + 7x = 9 + 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. 4 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x 4 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 2x = 9 + 0 4 + 2x = 9 Add '-4' to each side of the equation. 4 + -4 + 2x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 9 + -4 2x = 9 + -4 Combine like terms: 9 + -4 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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