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Simplifying 3(6 + -5x) = 6 + -3(2x + 5) (6 * 3 + -5x * 3) = 6 + -3(2x + 5) (18 + -15x) = 6 + -3(2x + 5) Reorder the terms: 18 + -15x = 6 + -3(5 + 2x) 18 + -15x = 6 + (5 * -3 + 2x * -3) 18 + -15x = 6 + (-15 + -6x) Combine like terms: 6 + -15 = -9 18 + -15x = -9 + -6x Solving 18 + -15x = -9 + -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. 18 + -15x + 6x = -9 + -6x + 6x Combine like terms: -15x + 6x = -9x 18 + -9x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + -9x = -9 + 0 18 + -9x = -9 Add '-18' to each side of the equation. 18 + -18 + -9x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = -9 + -18 -9x = -9 + -18 Combine like terms: -9 + -18 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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