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Simplifying 5(x + -2) + 8 = -1(3x + 2) Reorder the terms: 5(-2 + x) + 8 = -1(3x + 2) (-2 * 5 + x * 5) + 8 = -1(3x + 2) (-10 + 5x) + 8 = -1(3x + 2) Reorder the terms: -10 + 8 + 5x = -1(3x + 2) Combine like terms: -10 + 8 = -2 -2 + 5x = -1(3x + 2) Reorder the terms: -2 + 5x = -1(2 + 3x) -2 + 5x = (2 * -1 + 3x * -1) -2 + 5x = (-2 + -3x) Add '2' to each side of the equation. -2 + 2 + 5x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 0 + 5x = -2 + 2 + -3x 5x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 5x = 0 + -3x 5x = -3x Solving 5x = -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. 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 8x = -3x + 3x Combine like terms: -3x + 3x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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