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Simplifying 6(5 + 9x) = 4x + -12(1 + -3x) (5 * 6 + 9x * 6) = 4x + -12(1 + -3x) (30 + 54x) = 4x + -12(1 + -3x) 30 + 54x = 4x + (1 * -12 + -3x * -12) 30 + 54x = 4x + (-12 + 36x) Reorder the terms: 30 + 54x = -12 + 4x + 36x Combine like terms: 4x + 36x = 40x 30 + 54x = -12 + 40x Solving 30 + 54x = -12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + 54x + -40x = -12 + 40x + -40x Combine like terms: 54x + -40x = 14x 30 + 14x = -12 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + 14x = -12 + 0 30 + 14x = -12 Add '-30' to each side of the equation. 30 + -30 + 14x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = -12 + -30 14x = -12 + -30 Combine like terms: -12 + -30 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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