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Simplifying 6x + -5(x + 10) = -42 Reorder the terms: 6x + -5(10 + x) = -42 6x + (10 * -5 + x * -5) = -42 6x + (-50 + -5x) = -42 Reorder the terms: -50 + 6x + -5x = -42 Combine like terms: 6x + -5x = 1x -50 + 1x = -42 Solving -50 + 1x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 1x = -42 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = -42 + 50 1x = -42 + 50 Combine like terms: -42 + 50 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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