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Simplifying 9(7 + -2x) = 4(3x + 5) (7 * 9 + -2x * 9) = 4(3x + 5) (63 + -18x) = 4(3x + 5) Reorder the terms: 63 + -18x = 4(5 + 3x) 63 + -18x = (5 * 4 + 3x * 4) 63 + -18x = (20 + 12x) Solving 63 + -18x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 63 + -18x + -12x = 20 + 12x + -12x Combine like terms: -18x + -12x = -30x 63 + -30x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 63 + -30x = 20 + 0 63 + -30x = 20 Add '-63' to each side of the equation. 63 + -63 + -30x = 20 + -63 Combine like terms: 63 + -63 = 0 0 + -30x = 20 + -63 -30x = 20 + -63 Combine like terms: 20 + -63 = -43 -30x = -43 Divide each side by '-30'. x = 1.433333333 Simplifying x = 1.433333333
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