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Simplifying 6x + 3(9 + -4x) = 20 + -1(3x + -34) 6x + (9 * 3 + -4x * 3) = 20 + -1(3x + -34) 6x + (27 + -12x) = 20 + -1(3x + -34) Reorder the terms: 27 + 6x + -12x = 20 + -1(3x + -34) Combine like terms: 6x + -12x = -6x 27 + -6x = 20 + -1(3x + -34) Reorder the terms: 27 + -6x = 20 + -1(-34 + 3x) 27 + -6x = 20 + (-34 * -1 + 3x * -1) 27 + -6x = 20 + (34 + -3x) Combine like terms: 20 + 34 = 54 27 + -6x = 54 + -3x Solving 27 + -6x = 54 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 27 + -6x + 3x = 54 + -3x + 3x Combine like terms: -6x + 3x = -3x 27 + -3x = 54 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + -3x = 54 + 0 27 + -3x = 54 Add '-27' to each side of the equation. 27 + -27 + -3x = 54 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 54 + -27 -3x = 54 + -27 Combine like terms: 54 + -27 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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