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Simplifying 2 = -2(1 + 2x) + -4(x + 5) 2 = (1 * -2 + 2x * -2) + -4(x + 5) 2 = (-2 + -4x) + -4(x + 5) Reorder the terms: 2 = -2 + -4x + -4(5 + x) 2 = -2 + -4x + (5 * -4 + x * -4) 2 = -2 + -4x + (-20 + -4x) Reorder the terms: 2 = -2 + -20 + -4x + -4x Combine like terms: -2 + -20 = -22 2 = -22 + -4x + -4x Combine like terms: -4x + -4x = -8x 2 = -22 + -8x Solving 2 = -22 + -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 + 8x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 8x = -22 + 0 2 + 8x = -22 Add '-2' to each side of the equation. 2 + -2 + 8x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -22 + -2 8x = -22 + -2 Combine like terms: -22 + -2 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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