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Simplifying 3(3 + -2x) = 7(x + 4) (3 * 3 + -2x * 3) = 7(x + 4) (9 + -6x) = 7(x + 4) Reorder the terms: 9 + -6x = 7(4 + x) 9 + -6x = (4 * 7 + x * 7) 9 + -6x = (28 + 7x) Solving 9 + -6x = 28 + 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. 9 + -6x + -7x = 28 + 7x + -7x Combine like terms: -6x + -7x = -13x 9 + -13x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -13x = 28 + 0 9 + -13x = 28 Add '-9' to each side of the equation. 9 + -9 + -13x = 28 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 28 + -9 -13x = 28 + -9 Combine like terms: 28 + -9 = 19 -13x = 19 Divide each side by '-13'. x = -1.461538462 Simplifying x = -1.461538462
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