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Simplifying 7x + 1 = 4x + 7 + 2x + 3 Reorder the terms: 1 + 7x = 4x + 7 + 2x + 3 Reorder the terms: 1 + 7x = 7 + 3 + 4x + 2x Combine like terms: 7 + 3 = 10 1 + 7x = 10 + 4x + 2x Combine like terms: 4x + 2x = 6x 1 + 7x = 10 + 6x Solving 1 + 7x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 7x + -6x = 10 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 1x = 10 + 0 1 + 1x = 10 Add '-1' to each side of the equation. 1 + -1 + 1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 10 + -1 1x = 10 + -1 Combine like terms: 10 + -1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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