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Simplifying -20 + -7x = 5(8x + 9) Reorder the terms: -20 + -7x = 5(9 + 8x) -20 + -7x = (9 * 5 + 8x * 5) -20 + -7x = (45 + 40x) Solving -20 + -7x = 45 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -20 + -7x + -40x = 45 + 40x + -40x Combine like terms: -7x + -40x = -47x -20 + -47x = 45 + 40x + -40x Combine like terms: 40x + -40x = 0 -20 + -47x = 45 + 0 -20 + -47x = 45 Add '20' to each side of the equation. -20 + 20 + -47x = 45 + 20 Combine like terms: -20 + 20 = 0 0 + -47x = 45 + 20 -47x = 45 + 20 Combine like terms: 45 + 20 = 65 -47x = 65 Divide each side by '-47'. x = -1.382978723 Simplifying x = -1.382978723
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