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