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Simplifying -42 + -4x = 96 + -10x Solving -42 + -4x = 96 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -42 + -4x + 10x = 96 + -10x + 10x Combine like terms: -4x + 10x = 6x -42 + 6x = 96 + -10x + 10x Combine like terms: -10x + 10x = 0 -42 + 6x = 96 + 0 -42 + 6x = 96 Add '42' to each side of the equation. -42 + 42 + 6x = 96 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 96 + 42 6x = 96 + 42 Combine like terms: 96 + 42 = 138 6x = 138 Divide each side by '6'. x = 23 Simplifying x = 23
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