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Simplifying 5(x + -1) = 6(2x + -8) Reorder the terms: 5(-1 + x) = 6(2x + -8) (-1 * 5 + x * 5) = 6(2x + -8) (-5 + 5x) = 6(2x + -8) Reorder the terms: -5 + 5x = 6(-8 + 2x) -5 + 5x = (-8 * 6 + 2x * 6) -5 + 5x = (-48 + 12x) Solving -5 + 5x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 5x + -12x = -48 + 12x + -12x Combine like terms: 5x + -12x = -7x -5 + -7x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -7x = -48 + 0 -5 + -7x = -48 Add '5' to each side of the equation. -5 + 5 + -7x = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -48 + 5 -7x = -48 + 5 Combine like terms: -48 + 5 = -43 -7x = -43 Divide each side by '-7'. x = 6.142857143 Simplifying x = 6.142857143
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