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Simplifying -3(2 + -5x) = 6(x + 3) + -6 (2 * -3 + -5x * -3) = 6(x + 3) + -6 (-6 + 15x) = 6(x + 3) + -6 Reorder the terms: -6 + 15x = 6(3 + x) + -6 -6 + 15x = (3 * 6 + x * 6) + -6 -6 + 15x = (18 + 6x) + -6 Reorder the terms: -6 + 15x = 18 + -6 + 6x Combine like terms: 18 + -6 = 12 -6 + 15x = 12 + 6x Solving -6 + 15x = 12 + 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. -6 + 15x + -6x = 12 + 6x + -6x Combine like terms: 15x + -6x = 9x -6 + 9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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