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Simplifying 7(4 + -6x) = 3(9 + -15x) + 3 (4 * 7 + -6x * 7) = 3(9 + -15x) + 3 (28 + -42x) = 3(9 + -15x) + 3 28 + -42x = (9 * 3 + -15x * 3) + 3 28 + -42x = (27 + -45x) + 3 Reorder the terms: 28 + -42x = 27 + 3 + -45x Combine like terms: 27 + 3 = 30 28 + -42x = 30 + -45x Solving 28 + -42x = 30 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 28 + -42x + 45x = 30 + -45x + 45x Combine like terms: -42x + 45x = 3x 28 + 3x = 30 + -45x + 45x Combine like terms: -45x + 45x = 0 28 + 3x = 30 + 0 28 + 3x = 30 Add '-28' to each side of the equation. 28 + -28 + 3x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 30 + -28 3x = 30 + -28 Combine like terms: 30 + -28 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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