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Simplifying 8 + -5x + 2 = 3 + -3x + -5 Reorder the terms: 8 + 2 + -5x = 3 + -3x + -5 Combine like terms: 8 + 2 = 10 10 + -5x = 3 + -3x + -5 Reorder the terms: 10 + -5x = 3 + -5 + -3x Combine like terms: 3 + -5 = -2 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 = -2x 10 + -2x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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