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Simplifying 5x + 1 + -7x = 5 + x + -13 Reorder the terms: 1 + 5x + -7x = 5 + x + -13 Combine like terms: 5x + -7x = -2x 1 + -2x = 5 + x + -13 Reorder the terms: 1 + -2x = 5 + -13 + x Combine like terms: 5 + -13 = -8 1 + -2x = -8 + x Solving 1 + -2x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -2x + -1x = -8 + x + -1x Combine like terms: -2x + -1x = -3x 1 + -3x = -8 + x + -1x Combine like terms: x + -1x = 0 1 + -3x = -8 + 0 1 + -3x = -8 Add '-1' to each side of the equation. 1 + -1 + -3x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -8 + -1 -3x = -8 + -1 Combine like terms: -8 + -1 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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