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Simplifying -2(x + 5) = x + 30 + -2x Reorder the terms: -2(5 + x) = x + 30 + -2x (5 * -2 + x * -2) = x + 30 + -2x (-10 + -2x) = x + 30 + -2x Reorder the terms: -10 + -2x = 30 + x + -2x Combine like terms: x + -2x = -1x -10 + -2x = 30 + -1x Solving -10 + -2x = 30 + -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. -10 + -2x + x = 30 + -1x + x Combine like terms: -2x + x = -1x -10 + -1x = 30 + -1x + x Combine like terms: -1x + x = 0 -10 + -1x = 30 + 0 -10 + -1x = 30 Add '10' to each side of the equation. -10 + 10 + -1x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 30 + 10 -1x = 30 + 10 Combine like terms: 30 + 10 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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