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Simplifying 4(2x + -5x) = 6 + -3(1 + -3x) Combine like terms: 2x + -5x = -3x 4(-3x) = 6 + -3(1 + -3x) Remove parenthesis around (-3x) 4 * -3x = 6 + -3(1 + -3x) Multiply 4 * -3 -12x = 6 + -3(1 + -3x) -12x = 6 + (1 * -3 + -3x * -3) -12x = 6 + (-3 + 9x) Combine like terms: 6 + -3 = 3 -12x = 3 + 9x Solving -12x = 3 + 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. -12x + -9x = 3 + 9x + -9x Combine like terms: -12x + -9x = -21x -21x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -21x = 3 + 0 -21x = 3 Divide each side by '-21'. x = -0.1428571429 Simplifying x = -0.1428571429
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