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Simplifying 8x + -1(x + 5) = -1 + 2(x + -2) Reorder the terms: 8x + -1(5 + x) = -1 + 2(x + -2) 8x + (5 * -1 + x * -1) = -1 + 2(x + -2) 8x + (-5 + -1x) = -1 + 2(x + -2) Reorder the terms: -5 + 8x + -1x = -1 + 2(x + -2) Combine like terms: 8x + -1x = 7x -5 + 7x = -1 + 2(x + -2) Reorder the terms: -5 + 7x = -1 + 2(-2 + x) -5 + 7x = -1 + (-2 * 2 + x * 2) -5 + 7x = -1 + (-4 + 2x) Combine like terms: -1 + -4 = -5 -5 + 7x = -5 + 2x Add '5' to each side of the equation. -5 + 5 + 7x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + 7x = -5 + 5 + 2x 7x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 7x = 0 + 2x 7x = 2x Solving 7x = 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. 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 5x = 2x + -2x Combine like terms: 2x + -2x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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