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Simplifying -5(4x + -4) + 8x = 2x + -7 Reorder the terms: -5(-4 + 4x) + 8x = 2x + -7 (-4 * -5 + 4x * -5) + 8x = 2x + -7 (20 + -20x) + 8x = 2x + -7 Combine like terms: -20x + 8x = -12x 20 + -12x = 2x + -7 Reorder the terms: 20 + -12x = -7 + 2x Solving 20 + -12x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -12x + -2x = -7 + 2x + -2x Combine like terms: -12x + -2x = -14x 20 + -14x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -14x = -7 + 0 20 + -14x = -7 Add '-20' to each side of the equation. 20 + -20 + -14x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -7 + -20 -14x = -7 + -20 Combine like terms: -7 + -20 = -27 -14x = -27 Divide each side by '-14'. x = 1.928571429 Simplifying x = 1.928571429
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