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