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Simplifying (3x + 7) = (5x + -7) * 9 Reorder the terms: (7 + 3x) = (5x + -7) * 9 Remove parenthesis around (7 + 3x) 7 + 3x = (5x + -7) * 9 Reorder the terms: 7 + 3x = (-7 + 5x) * 9 Reorder the terms for easier multiplication: 7 + 3x = 9(-7 + 5x) 7 + 3x = (-7 * 9 + 5x * 9) 7 + 3x = (-63 + 45x) Solving 7 + 3x = -63 + 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. 7 + 3x + -45x = -63 + 45x + -45x Combine like terms: 3x + -45x = -42x 7 + -42x = -63 + 45x + -45x Combine like terms: 45x + -45x = 0 7 + -42x = -63 + 0 7 + -42x = -63 Add '-7' to each side of the equation. 7 + -7 + -42x = -63 + -7 Combine like terms: 7 + -7 = 0 0 + -42x = -63 + -7 -42x = -63 + -7 Combine like terms: -63 + -7 = -70 -42x = -70 Divide each side by '-42'. x = 1.666666667 Simplifying x = 1.666666667
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