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Simplifying 2x + 8x + -2 = -3(3 + -1x) Reorder the terms: -2 + 2x + 8x = -3(3 + -1x) Combine like terms: 2x + 8x = 10x -2 + 10x = -3(3 + -1x) -2 + 10x = (3 * -3 + -1x * -3) -2 + 10x = (-9 + 3x) Solving -2 + 10x = -9 + 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. -2 + 10x + -3x = -9 + 3x + -3x Combine like terms: 10x + -3x = 7x -2 + 7x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 7x = -9 + 0 -2 + 7x = -9 Add '2' to each side of the equation. -2 + 2 + 7x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -9 + 2 7x = -9 + 2 Combine like terms: -9 + 2 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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