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Simplifying 5 + 5(9x + -5) = -2 + -9(5x + -7) Reorder the terms: 5 + 5(-5 + 9x) = -2 + -9(5x + -7) 5 + (-5 * 5 + 9x * 5) = -2 + -9(5x + -7) 5 + (-25 + 45x) = -2 + -9(5x + -7) Combine like terms: 5 + -25 = -20 -20 + 45x = -2 + -9(5x + -7) Reorder the terms: -20 + 45x = -2 + -9(-7 + 5x) -20 + 45x = -2 + (-7 * -9 + 5x * -9) -20 + 45x = -2 + (63 + -45x) Combine like terms: -2 + 63 = 61 -20 + 45x = 61 + -45x Solving -20 + 45x = 61 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -20 + 45x + 45x = 61 + -45x + 45x Combine like terms: 45x + 45x = 90x -20 + 90x = 61 + -45x + 45x Combine like terms: -45x + 45x = 0 -20 + 90x = 61 + 0 -20 + 90x = 61 Add '20' to each side of the equation. -20 + 20 + 90x = 61 + 20 Combine like terms: -20 + 20 = 0 0 + 90x = 61 + 20 90x = 61 + 20 Combine like terms: 61 + 20 = 81 90x = 81 Divide each side by '90'. x = 0.9 Simplifying x = 0.9
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