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Simplifying -5x + -2 = 4x + 13 + -2x Reorder the terms: -2 + -5x = 4x + 13 + -2x Reorder the terms: -2 + -5x = 13 + 4x + -2x Combine like terms: 4x + -2x = 2x -2 + -5x = 13 + 2x Solving -2 + -5x = 13 + 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. -2 + -5x + -2x = 13 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = 13 + 0 -2 + -7x = 13 Add '2' to each side of the equation. -2 + 2 + -7x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 13 + 2 -7x = 13 + 2 Combine like terms: 13 + 2 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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