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Simplifying 10x + -42 = 4x + 36 Reorder the terms: -42 + 10x = 4x + 36 Reorder the terms: -42 + 10x = 36 + 4x Solving -42 + 10x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 10x + -4x = 36 + 4x + -4x Combine like terms: 10x + -4x = 6x -42 + 6x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 6x = 36 + 0 -42 + 6x = 36 Add '42' to each side of the equation. -42 + 42 + 6x = 36 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 36 + 42 6x = 36 + 42 Combine like terms: 36 + 42 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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