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Simplifying 7x + -10 = 11x + -42 Reorder the terms: -10 + 7x = 11x + -42 Reorder the terms: -10 + 7x = -42 + 11x Solving -10 + 7x = -42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 7x + -11x = -42 + 11x + -11x Combine like terms: 7x + -11x = -4x -10 + -4x = -42 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -4x = -42 + 0 -10 + -4x = -42 Add '10' to each side of the equation. -10 + 10 + -4x = -42 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -42 + 10 -4x = -42 + 10 Combine like terms: -42 + 10 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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