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Simplifying 5x + 42 = 7x + -10 + 2x Reorder the terms: 42 + 5x = 7x + -10 + 2x Reorder the terms: 42 + 5x = -10 + 7x + 2x Combine like terms: 7x + 2x = 9x 42 + 5x = -10 + 9x Solving 42 + 5x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 5x + -9x = -10 + 9x + -9x Combine like terms: 5x + -9x = -4x 42 + -4x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -4x = -10 + 0 42 + -4x = -10 Add '-42' to each side of the equation. 42 + -42 + -4x = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -10 + -42 -4x = -10 + -42 Combine like terms: -10 + -42 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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