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Simplifying 3(2 + -5x) = -3(2x + -5) (2 * 3 + -5x * 3) = -3(2x + -5) (6 + -15x) = -3(2x + -5) Reorder the terms: 6 + -15x = -3(-5 + 2x) 6 + -15x = (-5 * -3 + 2x * -3) 6 + -15x = (15 + -6x) Solving 6 + -15x = 15 + -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 = 15 + -6x + 6x Combine like terms: -15x + 6x = -9x 6 + -9x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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