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Simplifying 8x + -1(8 + x) = 6(x + -8) + 46 8x + (8 * -1 + x * -1) = 6(x + -8) + 46 8x + (-8 + -1x) = 6(x + -8) + 46 Reorder the terms: -8 + 8x + -1x = 6(x + -8) + 46 Combine like terms: 8x + -1x = 7x -8 + 7x = 6(x + -8) + 46 Reorder the terms: -8 + 7x = 6(-8 + x) + 46 -8 + 7x = (-8 * 6 + x * 6) + 46 -8 + 7x = (-48 + 6x) + 46 Reorder the terms: -8 + 7x = -48 + 46 + 6x Combine like terms: -48 + 46 = -2 -8 + 7x = -2 + 6x Solving -8 + 7x = -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. -8 + 7x + -6x = -2 + 6x + -6x Combine like terms: 7x + -6x = 1x -8 + 1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 1x = -2 + 0 -8 + 1x = -2 Add '8' to each side of the equation. -8 + 8 + 1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -2 + 8 1x = -2 + 8 Combine like terms: -2 + 8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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