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Simplifying 3(5x + -2) = 6x + -2 + 9X + -4 Reorder the terms: 3(-2 + 5x) = 6x + -2 + 9X + -4 (-2 * 3 + 5x * 3) = 6x + -2 + 9X + -4 (-6 + 15x) = 6x + -2 + 9X + -4 Reorder the terms: -6 + 15x = -2 + -4 + 9X + 6x Combine like terms: -2 + -4 = -6 -6 + 15x = -6 + 9X + 6x Add '6' to each side of the equation. -6 + 6 + 15x = -6 + 9X + 6 + 6x Combine like terms: -6 + 6 = 0 0 + 15x = -6 + 9X + 6 + 6x 15x = -6 + 9X + 6 + 6x Reorder the terms: 15x = -6 + 6 + 9X + 6x Combine like terms: -6 + 6 = 0 15x = 0 + 9X + 6x 15x = 9X + 6x Solving 15x = 9X + 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. 15x + -6x = 9X + 6x + -6x Combine like terms: 15x + -6x = 9x 9x = 9X + 6x + -6x Combine like terms: 6x + -6x = 0 9x = 9X + 0 9x = 9X Divide each side by '9'. x = X Simplifying x = X
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