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Simplifying x + -13 = 7x + 5 Reorder the terms: -13 + x = 7x + 5 Reorder the terms: -13 + x = 5 + 7x Solving -13 + x = 5 + 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. -13 + x + -7x = 5 + 7x + -7x Combine like terms: x + -7x = -6x -13 + -6x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -6x = 5 + 0 -13 + -6x = 5 Add '13' to each side of the equation. -13 + 13 + -6x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 5 + 13 -6x = 5 + 13 Combine like terms: 5 + 13 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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