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Simplifying -5 + -4(3x + -2) = 6(-6 + -5x) + -3 Reorder the terms: -5 + -4(-2 + 3x) = 6(-6 + -5x) + -3 -5 + (-2 * -4 + 3x * -4) = 6(-6 + -5x) + -3 -5 + (8 + -12x) = 6(-6 + -5x) + -3 Combine like terms: -5 + 8 = 3 3 + -12x = 6(-6 + -5x) + -3 3 + -12x = (-6 * 6 + -5x * 6) + -3 3 + -12x = (-36 + -30x) + -3 Reorder the terms: 3 + -12x = -36 + -3 + -30x Combine like terms: -36 + -3 = -39 3 + -12x = -39 + -30x Solving 3 + -12x = -39 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 3 + -12x + 30x = -39 + -30x + 30x Combine like terms: -12x + 30x = 18x 3 + 18x = -39 + -30x + 30x Combine like terms: -30x + 30x = 0 3 + 18x = -39 + 0 3 + 18x = -39 Add '-3' to each side of the equation. 3 + -3 + 18x = -39 + -3 Combine like terms: 3 + -3 = 0 0 + 18x = -39 + -3 18x = -39 + -3 Combine like terms: -39 + -3 = -42 18x = -42 Divide each side by '18'. x = -2.333333333 Simplifying x = -2.333333333
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