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Simplifying 9(3x + -7) = 2(2x + 3) Reorder the terms: 9(-7 + 3x) = 2(2x + 3) (-7 * 9 + 3x * 9) = 2(2x + 3) (-63 + 27x) = 2(2x + 3) Reorder the terms: -63 + 27x = 2(3 + 2x) -63 + 27x = (3 * 2 + 2x * 2) -63 + 27x = (6 + 4x) Solving -63 + 27x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -63 + 27x + -4x = 6 + 4x + -4x Combine like terms: 27x + -4x = 23x -63 + 23x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -63 + 23x = 6 + 0 -63 + 23x = 6 Add '63' to each side of the equation. -63 + 63 + 23x = 6 + 63 Combine like terms: -63 + 63 = 0 0 + 23x = 6 + 63 23x = 6 + 63 Combine like terms: 6 + 63 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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