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Simplifying 6 + -3(2x + -3) = 5(3 + -1x) + 2x Reorder the terms: 6 + -3(-3 + 2x) = 5(3 + -1x) + 2x 6 + (-3 * -3 + 2x * -3) = 5(3 + -1x) + 2x 6 + (9 + -6x) = 5(3 + -1x) + 2x Combine like terms: 6 + 9 = 15 15 + -6x = 5(3 + -1x) + 2x 15 + -6x = (3 * 5 + -1x * 5) + 2x 15 + -6x = (15 + -5x) + 2x Combine like terms: -5x + 2x = -3x 15 + -6x = 15 + -3x Add '-15' to each side of the equation. 15 + -15 + -6x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 0 + -6x = 15 + -15 + -3x -6x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 -6x = 0 + -3x -6x = -3x Solving -6x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6x + 3x = -3x + 3x Combine like terms: -6x + 3x = -3x -3x = -3x + 3x Combine like terms: -3x + 3x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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