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Simplifying -4(5x + 5) + -2x + 5 = 51 Reorder the terms: -4(5 + 5x) + -2x + 5 = 51 (5 * -4 + 5x * -4) + -2x + 5 = 51 (-20 + -20x) + -2x + 5 = 51 Reorder the terms: -20 + 5 + -20x + -2x = 51 Combine like terms: -20 + 5 = -15 -15 + -20x + -2x = 51 Combine like terms: -20x + -2x = -22x -15 + -22x = 51 Solving -15 + -22x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -22x = 51 + 15 Combine like terms: -15 + 15 = 0 0 + -22x = 51 + 15 -22x = 51 + 15 Combine like terms: 51 + 15 = 66 -22x = 66 Divide each side by '-22'. x = -3 Simplifying x = -3
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