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Simplifying 6(x + -8) = 5x + -6 Reorder the terms: 6(-8 + x) = 5x + -6 (-8 * 6 + x * 6) = 5x + -6 (-48 + 6x) = 5x + -6 Reorder the terms: -48 + 6x = -6 + 5x Solving -48 + 6x = -6 + 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. -48 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x -48 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 1x = -6 + 0 -48 + 1x = -6 Add '48' to each side of the equation. -48 + 48 + 1x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -6 + 48 1x = -6 + 48 Combine like terms: -6 + 48 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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