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Simplifying 3x + 10 = -5x + 42 Reorder the terms: 10 + 3x = -5x + 42 Reorder the terms: 10 + 3x = 42 + -5x Solving 10 + 3x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + 3x + 5x = 42 + -5x + 5x Combine like terms: 3x + 5x = 8x 10 + 8x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 8x = 42 + 0 10 + 8x = 42 Add '-10' to each side of the equation. 10 + -10 + 8x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 42 + -10 8x = 42 + -10 Combine like terms: 42 + -10 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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