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Simplifying 7x + -2(x + 2) = 8x + -2(x + -1) Reorder the terms: 7x + -2(2 + x) = 8x + -2(x + -1) 7x + (2 * -2 + x * -2) = 8x + -2(x + -1) 7x + (-4 + -2x) = 8x + -2(x + -1) Reorder the terms: -4 + 7x + -2x = 8x + -2(x + -1) Combine like terms: 7x + -2x = 5x -4 + 5x = 8x + -2(x + -1) Reorder the terms: -4 + 5x = 8x + -2(-1 + x) -4 + 5x = 8x + (-1 * -2 + x * -2) -4 + 5x = 8x + (2 + -2x) Reorder the terms: -4 + 5x = 2 + 8x + -2x Combine like terms: 8x + -2x = 6x -4 + 5x = 2 + 6x Solving -4 + 5x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = 2 + 0 -4 + -1x = 2 Add '4' to each side of the equation. -4 + 4 + -1x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 2 + 4 -1x = 2 + 4 Combine like terms: 2 + 4 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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