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Simplifying 3(3x + -5) = 2(x + 2) + -6x Reorder the terms: 3(-5 + 3x) = 2(x + 2) + -6x (-5 * 3 + 3x * 3) = 2(x + 2) + -6x (-15 + 9x) = 2(x + 2) + -6x Reorder the terms: -15 + 9x = 2(2 + x) + -6x -15 + 9x = (2 * 2 + x * 2) + -6x -15 + 9x = (4 + 2x) + -6x Combine like terms: 2x + -6x = -4x -15 + 9x = 4 + -4x Solving -15 + 9x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 9x + 4x = 4 + -4x + 4x Combine like terms: 9x + 4x = 13x -15 + 13x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 13x = 4 + 0 -15 + 13x = 4 Add '15' to each side of the equation. -15 + 15 + 13x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 4 + 15 13x = 4 + 15 Combine like terms: 4 + 15 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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