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Simplifying 3(6 + -1x) = 6x + -3(5x + -6) (6 * 3 + -1x * 3) = 6x + -3(5x + -6) (18 + -3x) = 6x + -3(5x + -6) Reorder the terms: 18 + -3x = 6x + -3(-6 + 5x) 18 + -3x = 6x + (-6 * -3 + 5x * -3) 18 + -3x = 6x + (18 + -15x) Reorder the terms: 18 + -3x = 18 + 6x + -15x Combine like terms: 6x + -15x = -9x 18 + -3x = 18 + -9x Add '-18' to each side of the equation. 18 + -18 + -3x = 18 + -18 + -9x Combine like terms: 18 + -18 = 0 0 + -3x = 18 + -18 + -9x -3x = 18 + -18 + -9x Combine like terms: 18 + -18 = 0 -3x = 0 + -9x -3x = -9x Solving -3x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -3x + 9x = -9x + 9x Combine like terms: -3x + 9x = 6x 6x = -9x + 9x Combine like terms: -9x + 9x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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