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Simplifying 2x + -5(x + 2) = -8 + -2x Reorder the terms: 2x + -5(2 + x) = -8 + -2x 2x + (2 * -5 + x * -5) = -8 + -2x 2x + (-10 + -5x) = -8 + -2x Reorder the terms: -10 + 2x + -5x = -8 + -2x Combine like terms: 2x + -5x = -3x -10 + -3x = -8 + -2x Solving -10 + -3x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -3x + 2x = -8 + -2x + 2x Combine like terms: -3x + 2x = -1x -10 + -1x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -1x = -8 + 0 -10 + -1x = -8 Add '10' to each side of the equation. -10 + 10 + -1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -8 + 10 -1x = -8 + 10 Combine like terms: -8 + 10 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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