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Simplifying -6(2x + -5) = 3 + -3(5x + 9) Reorder the terms: -6(-5 + 2x) = 3 + -3(5x + 9) (-5 * -6 + 2x * -6) = 3 + -3(5x + 9) (30 + -12x) = 3 + -3(5x + 9) Reorder the terms: 30 + -12x = 3 + -3(9 + 5x) 30 + -12x = 3 + (9 * -3 + 5x * -3) 30 + -12x = 3 + (-27 + -15x) Combine like terms: 3 + -27 = -24 30 + -12x = -24 + -15x Solving 30 + -12x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 30 + -12x + 15x = -24 + -15x + 15x Combine like terms: -12x + 15x = 3x 30 + 3x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 30 + 3x = -24 + 0 30 + 3x = -24 Add '-30' to each side of the equation. 30 + -30 + 3x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = -24 + -30 3x = -24 + -30 Combine like terms: -24 + -30 = -54 3x = -54 Divide each side by '3'. x = -18 Simplifying x = -18
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