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Simplifying 5x + 10 = -2x + 3 Reorder the terms: 10 + 5x = -2x + 3 Reorder the terms: 10 + 5x = 3 + -2x Solving 10 + 5x = 3 + -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. 10 + 5x + 2x = 3 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = 3 + 0 10 + 7x = 3 Add '-10' to each side of the equation. 10 + -10 + 7x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 3 + -10 7x = 3 + -10 Combine like terms: 3 + -10 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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