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Simplifying 12 + -1(4x + -6) = 3x + -1(9x + -27) Reorder the terms: 12 + -1(-6 + 4x) = 3x + -1(9x + -27) 12 + (-6 * -1 + 4x * -1) = 3x + -1(9x + -27) 12 + (6 + -4x) = 3x + -1(9x + -27) Combine like terms: 12 + 6 = 18 18 + -4x = 3x + -1(9x + -27) Reorder the terms: 18 + -4x = 3x + -1(-27 + 9x) 18 + -4x = 3x + (-27 * -1 + 9x * -1) 18 + -4x = 3x + (27 + -9x) Reorder the terms: 18 + -4x = 27 + 3x + -9x Combine like terms: 3x + -9x = -6x 18 + -4x = 27 + -6x Solving 18 + -4x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + -4x + 6x = 27 + -6x + 6x Combine like terms: -4x + 6x = 2x 18 + 2x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 2x = 27 + 0 18 + 2x = 27 Add '-18' to each side of the equation. 18 + -18 + 2x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 27 + -18 2x = 27 + -18 Combine like terms: 27 + -18 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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