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Simplifying 5(x + -20) + 3 = 7x + 9 Reorder the terms: 5(-20 + x) + 3 = 7x + 9 (-20 * 5 + x * 5) + 3 = 7x + 9 (-100 + 5x) + 3 = 7x + 9 Reorder the terms: -100 + 3 + 5x = 7x + 9 Combine like terms: -100 + 3 = -97 -97 + 5x = 7x + 9 Reorder the terms: -97 + 5x = 9 + 7x Solving -97 + 5x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -97 + 5x + -7x = 9 + 7x + -7x Combine like terms: 5x + -7x = -2x -97 + -2x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -97 + -2x = 9 + 0 -97 + -2x = 9 Add '97' to each side of the equation. -97 + 97 + -2x = 9 + 97 Combine like terms: -97 + 97 = 0 0 + -2x = 9 + 97 -2x = 9 + 97 Combine like terms: 9 + 97 = 106 -2x = 106 Divide each side by '-2'. x = -53 Simplifying x = -53
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