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Simplifying 3(x + -5) + 3x = 2 + -3(x + -5) Reorder the terms: 3(-5 + x) + 3x = 2 + -3(x + -5) (-5 * 3 + x * 3) + 3x = 2 + -3(x + -5) (-15 + 3x) + 3x = 2 + -3(x + -5) Combine like terms: 3x + 3x = 6x -15 + 6x = 2 + -3(x + -5) Reorder the terms: -15 + 6x = 2 + -3(-5 + x) -15 + 6x = 2 + (-5 * -3 + x * -3) -15 + 6x = 2 + (15 + -3x) Combine like terms: 2 + 15 = 17 -15 + 6x = 17 + -3x Solving -15 + 6x = 17 + -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. -15 + 6x + 3x = 17 + -3x + 3x Combine like terms: 6x + 3x = 9x -15 + 9x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 9x = 17 + 0 -15 + 9x = 17 Add '15' to each side of the equation. -15 + 15 + 9x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 17 + 15 9x = 17 + 15 Combine like terms: 17 + 15 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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