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Simplifying 6(2x + 2) = 9(4x + 8) + 9 Reorder the terms: 6(2 + 2x) = 9(4x + 8) + 9 (2 * 6 + 2x * 6) = 9(4x + 8) + 9 (12 + 12x) = 9(4x + 8) + 9 Reorder the terms: 12 + 12x = 9(8 + 4x) + 9 12 + 12x = (8 * 9 + 4x * 9) + 9 12 + 12x = (72 + 36x) + 9 Reorder the terms: 12 + 12x = 72 + 9 + 36x Combine like terms: 72 + 9 = 81 12 + 12x = 81 + 36x Solving 12 + 12x = 81 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 12 + 12x + -36x = 81 + 36x + -36x Combine like terms: 12x + -36x = -24x 12 + -24x = 81 + 36x + -36x Combine like terms: 36x + -36x = 0 12 + -24x = 81 + 0 12 + -24x = 81 Add '-12' to each side of the equation. 12 + -12 + -24x = 81 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = 81 + -12 -24x = 81 + -12 Combine like terms: 81 + -12 = 69 -24x = 69 Divide each side by '-24'. x = -2.875 Simplifying x = -2.875
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