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Simplifying 3(9 + -2x) + -24 = -7(3x + -4) (9 * 3 + -2x * 3) + -24 = -7(3x + -4) (27 + -6x) + -24 = -7(3x + -4) Reorder the terms: 27 + -24 + -6x = -7(3x + -4) Combine like terms: 27 + -24 = 3 3 + -6x = -7(3x + -4) Reorder the terms: 3 + -6x = -7(-4 + 3x) 3 + -6x = (-4 * -7 + 3x * -7) 3 + -6x = (28 + -21x) Solving 3 + -6x = 28 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 3 + -6x + 21x = 28 + -21x + 21x Combine like terms: -6x + 21x = 15x 3 + 15x = 28 + -21x + 21x Combine like terms: -21x + 21x = 0 3 + 15x = 28 + 0 3 + 15x = 28 Add '-3' to each side of the equation. 3 + -3 + 15x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 28 + -3 15x = 28 + -3 Combine like terms: 28 + -3 = 25 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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