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Simplifying 5x + 1 = 2x + -7 Reorder the terms: 1 + 5x = 2x + -7 Reorder the terms: 1 + 5x = -7 + 2x Solving 1 + 5x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = -7 + 0 1 + 3x = -7 Add '-1' to each side of the equation. 1 + -1 + 3x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -7 + -1 3x = -7 + -1 Combine like terms: -7 + -1 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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