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