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Simplifying 10x + -42 = 6x + 10 Reorder the terms: -42 + 10x = 6x + 10 Reorder the terms: -42 + 10x = 10 + 6x Solving -42 + 10x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 10x + -6x = 10 + 6x + -6x Combine like terms: 10x + -6x = 4x -42 + 4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 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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