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Simplifying -42 + -10x = 53 + -5x Solving -42 + -10x = 53 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -42 + -10x + 5x = 53 + -5x + 5x Combine like terms: -10x + 5x = -5x -42 + -5x = 53 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + -5x = 53 + 0 -42 + -5x = 53 Add '42' to each side of the equation. -42 + 42 + -5x = 53 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 53 + 42 -5x = 53 + 42 Combine like terms: 53 + 42 = 95 -5x = 95 Divide each side by '-5'. x = -19 Simplifying x = -19
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