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