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Simplifying x + -8 + -8x = -5(x + -2) + -3(x + 8) Reorder the terms: -8 + x + -8x = -5(x + -2) + -3(x + 8) Combine like terms: x + -8x = -7x -8 + -7x = -5(x + -2) + -3(x + 8) Reorder the terms: -8 + -7x = -5(-2 + x) + -3(x + 8) -8 + -7x = (-2 * -5 + x * -5) + -3(x + 8) -8 + -7x = (10 + -5x) + -3(x + 8) Reorder the terms: -8 + -7x = 10 + -5x + -3(8 + x) -8 + -7x = 10 + -5x + (8 * -3 + x * -3) -8 + -7x = 10 + -5x + (-24 + -3x) Reorder the terms: -8 + -7x = 10 + -24 + -5x + -3x Combine like terms: 10 + -24 = -14 -8 + -7x = -14 + -5x + -3x Combine like terms: -5x + -3x = -8x -8 + -7x = -14 + -8x Solving -8 + -7x = -14 + -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. -8 + -7x + 8x = -14 + -8x + 8x Combine like terms: -7x + 8x = 1x -8 + 1x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 1x = -14 + 0 -8 + 1x = -14 Add '8' to each side of the equation. -8 + 8 + 1x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -14 + 8 1x = -14 + 8 Combine like terms: -14 + 8 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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