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Simplifying 3x + -13 = 7x + 5 + -2 Reorder the terms: -13 + 3x = 7x + 5 + -2 Reorder the terms: -13 + 3x = 5 + -2 + 7x Combine like terms: 5 + -2 = 3 -13 + 3x = 3 + 7x Solving -13 + 3x = 3 + 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 + 3x + -7x = 3 + 7x + -7x Combine like terms: 3x + -7x = -4x -13 + -4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -4x = 3 + 0 -13 + -4x = 3 Add '13' to each side of the equation. -13 + 13 + -4x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 3 + 13 -4x = 3 + 13 Combine like terms: 3 + 13 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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