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