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Simplifying 2(3x + 4) + 7 = 8 + 2(6x + -9) Reorder the terms: 2(4 + 3x) + 7 = 8 + 2(6x + -9) (4 * 2 + 3x * 2) + 7 = 8 + 2(6x + -9) (8 + 6x) + 7 = 8 + 2(6x + -9) Reorder the terms: 8 + 7 + 6x = 8 + 2(6x + -9) Combine like terms: 8 + 7 = 15 15 + 6x = 8 + 2(6x + -9) Reorder the terms: 15 + 6x = 8 + 2(-9 + 6x) 15 + 6x = 8 + (-9 * 2 + 6x * 2) 15 + 6x = 8 + (-18 + 12x) Combine like terms: 8 + -18 = -10 15 + 6x = -10 + 12x Solving 15 + 6x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 6x + -12x = -10 + 12x + -12x Combine like terms: 6x + -12x = -6x 15 + -6x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -6x = -10 + 0 15 + -6x = -10 Add '-15' to each side of the equation. 15 + -15 + -6x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -10 + -15 -6x = -10 + -15 Combine like terms: -10 + -15 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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