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Simplifying 5x + 3 = -2x + -7 Reorder the terms: 3 + 5x = -2x + -7 Reorder the terms: 3 + 5x = -7 + -2x Solving 3 + 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. 3 + 5x + 2x = -7 + -2x + 2x Combine like terms: 5x + 2x = 7x 3 + 7x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 7x = -7 + 0 3 + 7x = -7 Add '-3' to each side of the equation. 3 + -3 + 7x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -7 + -3 7x = -7 + -3 Combine like terms: -7 + -3 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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