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Simplifying 3(6x + -2) + -5x = 3(3x + 2) Reorder the terms: 3(-2 + 6x) + -5x = 3(3x + 2) (-2 * 3 + 6x * 3) + -5x = 3(3x + 2) (-6 + 18x) + -5x = 3(3x + 2) Combine like terms: 18x + -5x = 13x -6 + 13x = 3(3x + 2) Reorder the terms: -6 + 13x = 3(2 + 3x) -6 + 13x = (2 * 3 + 3x * 3) -6 + 13x = (6 + 9x) Solving -6 + 13x = 6 + 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. -6 + 13x + -9x = 6 + 9x + -9x Combine like terms: 13x + -9x = 4x -6 + 4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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