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Simplifying -5(x + -4) + 7x = 8x + -8 Reorder the terms: -5(-4 + x) + 7x = 8x + -8 (-4 * -5 + x * -5) + 7x = 8x + -8 (20 + -5x) + 7x = 8x + -8 Combine like terms: -5x + 7x = 2x 20 + 2x = 8x + -8 Reorder the terms: 20 + 2x = -8 + 8x Solving 20 + 2x = -8 + 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. 20 + 2x + -8x = -8 + 8x + -8x Combine like terms: 2x + -8x = -6x 20 + -6x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -6x = -8 + 0 20 + -6x = -8 Add '-20' to each side of the equation. 20 + -20 + -6x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -8 + -20 -6x = -8 + -20 Combine like terms: -8 + -20 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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