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Simplifying 7 = 3(x + 9) + -6x Reorder the terms: 7 = 3(9 + x) + -6x 7 = (9 * 3 + x * 3) + -6x 7 = (27 + 3x) + -6x Combine like terms: 3x + -6x = -3x 7 = 27 + -3x Solving 7 = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 3x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 3x = 27 + 0 7 + 3x = 27 Add '-7' to each side of the equation. 7 + -7 + 3x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 27 + -7 3x = 27 + -7 Combine like terms: 27 + -7 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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