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Simplifying -42 + 10x = 6x + 70 Reorder the terms: -42 + 10x = 70 + 6x Solving -42 + 10x = 70 + 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 = 70 + 6x + -6x Combine like terms: 10x + -6x = 4x -42 + 4x = 70 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 4x = 70 + 0 -42 + 4x = 70 Add '42' to each side of the equation. -42 + 42 + 4x = 70 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 70 + 42 4x = 70 + 42 Combine like terms: 70 + 42 = 112 4x = 112 Divide each side by '4'. x = 28 Simplifying x = 28
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