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Simplifying 3[3x + -6] = 27[2x] Reorder the terms: 3[-6 + 3x] = 27[2x] [-6 * 3 + 3x * 3] = 27[2x] [-18 + 9x] = 27[2x] Remove brackets around [2x] -18 + 9x = 27 * 2x Multiply 27 * 2 -18 + 9x = 54x Solving -18 + 9x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -18 + 9x + -54x = 54x + -54x Combine like terms: 9x + -54x = -45x -18 + -45x = 54x + -54x Combine like terms: 54x + -54x = 0 -18 + -45x = 0 Add '18' to each side of the equation. -18 + 18 + -45x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -45x = 0 + 18 -45x = 0 + 18 Combine like terms: 0 + 18 = 18 -45x = 18 Divide each side by '-45'. x = -0.4 Simplifying x = -0.4
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