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Simplifying 2x + 4x + 1 = 3 + 7x Reorder the terms: 1 + 2x + 4x = 3 + 7x Combine like terms: 2x + 4x = 6x 1 + 6x = 3 + 7x Solving 1 + 6x = 3 + 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. 1 + 6x + -7x = 3 + 7x + -7x Combine like terms: 6x + -7x = -1x 1 + -1x = 3 + 7x + -7x Combine like terms: 7x + -7x = 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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