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Simplifying 6x + -10 = 7x + 42 Reorder the terms: -10 + 6x = 7x + 42 Reorder the terms: -10 + 6x = 42 + 7x Solving -10 + 6x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 6x + -7x = 42 + 7x + -7x Combine like terms: 6x + -7x = -1x -10 + -1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -1x = 42 + 0 -10 + -1x = 42 Add '10' to each side of the equation. -10 + 10 + -1x = 42 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 42 + 10 -1x = 42 + 10 Combine like terms: 42 + 10 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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