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Simplifying 5x + 10 = -3x + 2 Reorder the terms: 10 + 5x = -3x + 2 Reorder the terms: 10 + 5x = 2 + -3x Solving 10 + 5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 5x + 3x = 2 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = 2 + 0 10 + 8x = 2 Add '-10' to each side of the equation. 10 + -10 + 8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 2 + -10 8x = 2 + -10 Combine like terms: 2 + -10 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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