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Simplifying 2(3 + -4x) = 3x + -5(x + -6) (3 * 2 + -4x * 2) = 3x + -5(x + -6) (6 + -8x) = 3x + -5(x + -6) Reorder the terms: 6 + -8x = 3x + -5(-6 + x) 6 + -8x = 3x + (-6 * -5 + x * -5) 6 + -8x = 3x + (30 + -5x) Reorder the terms: 6 + -8x = 30 + 3x + -5x Combine like terms: 3x + -5x = -2x 6 + -8x = 30 + -2x Solving 6 + -8x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -8x + 2x = 30 + -2x + 2x Combine like terms: -8x + 2x = -6x 6 + -6x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -6x = 30 + 0 6 + -6x = 30 Add '-6' to each side of the equation. 6 + -6 + -6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 30 + -6 -6x = 30 + -6 Combine like terms: 30 + -6 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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