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Simplifying 2(x + 6) = 3(3x + 5) Reorder the terms: 2(6 + x) = 3(3x + 5) (6 * 2 + x * 2) = 3(3x + 5) (12 + 2x) = 3(3x + 5) Reorder the terms: 12 + 2x = 3(5 + 3x) 12 + 2x = (5 * 3 + 3x * 3) 12 + 2x = (15 + 9x) Solving 12 + 2x = 15 + 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. 12 + 2x + -9x = 15 + 9x + -9x Combine like terms: 2x + -9x = -7x 12 + -7x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -7x = 15 + 0 12 + -7x = 15 Add '-12' to each side of the equation. 12 + -12 + -7x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 15 + -12 -7x = 15 + -12 Combine like terms: 15 + -12 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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