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