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Simplifying 3(5x + -2) + -6x = (3x + 2) Reorder the terms: 3(-2 + 5x) + -6x = (3x + 2) (-2 * 3 + 5x * 3) + -6x = (3x + 2) (-6 + 15x) + -6x = (3x + 2) Combine like terms: 15x + -6x = 9x -6 + 9x = (3x + 2) Reorder the terms: -6 + 9x = (2 + 3x) Remove parenthesis around (2 + 3x) -6 + 9x = 2 + 3x Solving -6 + 9x = 2 + 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. -6 + 9x + -3x = 2 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = 2 + 0 -6 + 6x = 2 Add '6' to each side of the equation. -6 + 6 + 6x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 2 + 6 6x = 2 + 6 Combine like terms: 2 + 6 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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