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Simplifying 5(-2 + -1x) = 2x + 3(-3x + 6) (-2 * 5 + -1x * 5) = 2x + 3(-3x + 6) (-10 + -5x) = 2x + 3(-3x + 6) Reorder the terms: -10 + -5x = 2x + 3(6 + -3x) -10 + -5x = 2x + (6 * 3 + -3x * 3) -10 + -5x = 2x + (18 + -9x) Reorder the terms: -10 + -5x = 18 + 2x + -9x Combine like terms: 2x + -9x = -7x -10 + -5x = 18 + -7x Solving -10 + -5x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + -5x + 7x = 18 + -7x + 7x Combine like terms: -5x + 7x = 2x -10 + 2x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 2x = 18 + 0 -10 + 2x = 18 Add '10' to each side of the equation. -10 + 10 + 2x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 18 + 10 2x = 18 + 10 Combine like terms: 18 + 10 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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