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Simplifying 3(x + -5) = 3(3x + 2) Reorder the terms: 3(-5 + x) = 3(3x + 2) (-5 * 3 + x * 3) = 3(3x + 2) (-15 + 3x) = 3(3x + 2) Reorder the terms: -15 + 3x = 3(2 + 3x) -15 + 3x = (2 * 3 + 3x * 3) -15 + 3x = (6 + 9x) Solving -15 + 3x = 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. -15 + 3x + -9x = 6 + 9x + -9x Combine like terms: 3x + -9x = -6x -15 + -6x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -6x = 6 + 0 -15 + -6x = 6 Add '15' to each side of the equation. -15 + 15 + -6x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 6 + 15 -6x = 6 + 15 Combine like terms: 6 + 15 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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