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Simplifying 6 + -3(4x + 1) = 2x + -3(3x + 9) Reorder the terms: 6 + -3(1 + 4x) = 2x + -3(3x + 9) 6 + (1 * -3 + 4x * -3) = 2x + -3(3x + 9) 6 + (-3 + -12x) = 2x + -3(3x + 9) Combine like terms: 6 + -3 = 3 3 + -12x = 2x + -3(3x + 9) Reorder the terms: 3 + -12x = 2x + -3(9 + 3x) 3 + -12x = 2x + (9 * -3 + 3x * -3) 3 + -12x = 2x + (-27 + -9x) Reorder the terms: 3 + -12x = -27 + 2x + -9x Combine like terms: 2x + -9x = -7x 3 + -12x = -27 + -7x Solving 3 + -12x = -27 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + -12x + 7x = -27 + -7x + 7x Combine like terms: -12x + 7x = -5x 3 + -5x = -27 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + -5x = -27 + 0 3 + -5x = -27 Add '-3' to each side of the equation. 3 + -3 + -5x = -27 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -27 + -3 -5x = -27 + -3 Combine like terms: -27 + -3 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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