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Simplifying 3(8 + 2x) + 6 = 30 + 9(x + -1) (8 * 3 + 2x * 3) + 6 = 30 + 9(x + -1) (24 + 6x) + 6 = 30 + 9(x + -1) Reorder the terms: 24 + 6 + 6x = 30 + 9(x + -1) Combine like terms: 24 + 6 = 30 30 + 6x = 30 + 9(x + -1) Reorder the terms: 30 + 6x = 30 + 9(-1 + x) 30 + 6x = 30 + (-1 * 9 + x * 9) 30 + 6x = 30 + (-9 + 9x) Combine like terms: 30 + -9 = 21 30 + 6x = 21 + 9x Solving 30 + 6x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 6x + -9x = 21 + 9x + -9x Combine like terms: 6x + -9x = -3x 30 + -3x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -3x = 21 + 0 30 + -3x = 21 Add '-30' to each side of the equation. 30 + -30 + -3x = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 21 + -30 -3x = 21 + -30 Combine like terms: 21 + -30 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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