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Simplifying -8x + 5(3x + -6) = -18 + -5x Reorder the terms: -8x + 5(-6 + 3x) = -18 + -5x -8x + (-6 * 5 + 3x * 5) = -18 + -5x -8x + (-30 + 15x) = -18 + -5x Reorder the terms: -30 + -8x + 15x = -18 + -5x Combine like terms: -8x + 15x = 7x -30 + 7x = -18 + -5x Solving -30 + 7x = -18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 7x + 5x = -18 + -5x + 5x Combine like terms: 7x + 5x = 12x -30 + 12x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 12x = -18 + 0 -30 + 12x = -18 Add '30' to each side of the equation. -30 + 30 + 12x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = -18 + 30 12x = -18 + 30 Combine like terms: -18 + 30 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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