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Simplifying 4(3x + -7) = 3(2x + 9) Reorder the terms: 4(-7 + 3x) = 3(2x + 9) (-7 * 4 + 3x * 4) = 3(2x + 9) (-28 + 12x) = 3(2x + 9) Reorder the terms: -28 + 12x = 3(9 + 2x) -28 + 12x = (9 * 3 + 2x * 3) -28 + 12x = (27 + 6x) Solving -28 + 12x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 12x + -6x = 27 + 6x + -6x Combine like terms: 12x + -6x = 6x -28 + 6x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 6x = 27 + 0 -28 + 6x = 27 Add '28' to each side of the equation. -28 + 28 + 6x = 27 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 27 + 28 6x = 27 + 28 Combine like terms: 27 + 28 = 55 6x = 55 Divide each side by '6'. x = 9.166666667 Simplifying x = 9.166666667
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