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Simplifying 3(1 + -2x) + -5(3x + 2) = 0 (1 * 3 + -2x * 3) + -5(3x + 2) = 0 (3 + -6x) + -5(3x + 2) = 0 Reorder the terms: 3 + -6x + -5(2 + 3x) = 0 3 + -6x + (2 * -5 + 3x * -5) = 0 3 + -6x + (-10 + -15x) = 0 Reorder the terms: 3 + -10 + -6x + -15x = 0 Combine like terms: 3 + -10 = -7 -7 + -6x + -15x = 0 Combine like terms: -6x + -15x = -21x -7 + -21x = 0 Solving -7 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -21x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = 0 + 7 -21x = 0 + 7 Combine like terms: 0 + 7 = 7 -21x = 7 Divide each side by '-21'. x = -0.3333333333 Simplifying x = -0.3333333333
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