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Simplifying x + -10(5x + 5) = -2 + -1x Reorder the terms: x + -10(5 + 5x) = -2 + -1x x + (5 * -10 + 5x * -10) = -2 + -1x x + (-50 + -50x) = -2 + -1x Reorder the terms: -50 + x + -50x = -2 + -1x Combine like terms: x + -50x = -49x -50 + -49x = -2 + -1x Solving -50 + -49x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -50 + -49x + x = -2 + -1x + x Combine like terms: -49x + x = -48x -50 + -48x = -2 + -1x + x Combine like terms: -1x + x = 0 -50 + -48x = -2 + 0 -50 + -48x = -2 Add '50' to each side of the equation. -50 + 50 + -48x = -2 + 50 Combine like terms: -50 + 50 = 0 0 + -48x = -2 + 50 -48x = -2 + 50 Combine like terms: -2 + 50 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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