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Simplifying 2(12x + 3) + -3(1 + -3x) = 6(x + -10) Reorder the terms: 2(3 + 12x) + -3(1 + -3x) = 6(x + -10) (3 * 2 + 12x * 2) + -3(1 + -3x) = 6(x + -10) (6 + 24x) + -3(1 + -3x) = 6(x + -10) 6 + 24x + (1 * -3 + -3x * -3) = 6(x + -10) 6 + 24x + (-3 + 9x) = 6(x + -10) Reorder the terms: 6 + -3 + 24x + 9x = 6(x + -10) Combine like terms: 6 + -3 = 3 3 + 24x + 9x = 6(x + -10) Combine like terms: 24x + 9x = 33x 3 + 33x = 6(x + -10) Reorder the terms: 3 + 33x = 6(-10 + x) 3 + 33x = (-10 * 6 + x * 6) 3 + 33x = (-60 + 6x) Solving 3 + 33x = -60 + 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. 3 + 33x + -6x = -60 + 6x + -6x Combine like terms: 33x + -6x = 27x 3 + 27x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 27x = -60 + 0 3 + 27x = -60 Add '-3' to each side of the equation. 3 + -3 + 27x = -60 + -3 Combine like terms: 3 + -3 = 0 0 + 27x = -60 + -3 27x = -60 + -3 Combine like terms: -60 + -3 = -63 27x = -63 Divide each side by '27'. x = -2.333333333 Simplifying x = -2.333333333
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