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Simplifying 6(x + -8) + -1(2x + -2) = 5x + -1 Reorder the terms: 6(-8 + x) + -1(2x + -2) = 5x + -1 (-8 * 6 + x * 6) + -1(2x + -2) = 5x + -1 (-48 + 6x) + -1(2x + -2) = 5x + -1 Reorder the terms: -48 + 6x + -1(-2 + 2x) = 5x + -1 -48 + 6x + (-2 * -1 + 2x * -1) = 5x + -1 -48 + 6x + (2 + -2x) = 5x + -1 Reorder the terms: -48 + 2 + 6x + -2x = 5x + -1 Combine like terms: -48 + 2 = -46 -46 + 6x + -2x = 5x + -1 Combine like terms: 6x + -2x = 4x -46 + 4x = 5x + -1 Reorder the terms: -46 + 4x = -1 + 5x Solving -46 + 4x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -46 + 4x + -5x = -1 + 5x + -5x Combine like terms: 4x + -5x = -1x -46 + -1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + -1x = -1 + 0 -46 + -1x = -1 Add '46' to each side of the equation. -46 + 46 + -1x = -1 + 46 Combine like terms: -46 + 46 = 0 0 + -1x = -1 + 46 -1x = -1 + 46 Combine like terms: -1 + 46 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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