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Simplifying -3x + 7(3x + -5) = -15 + -2x Reorder the terms: -3x + 7(-5 + 3x) = -15 + -2x -3x + (-5 * 7 + 3x * 7) = -15 + -2x -3x + (-35 + 21x) = -15 + -2x Reorder the terms: -35 + -3x + 21x = -15 + -2x Combine like terms: -3x + 21x = 18x -35 + 18x = -15 + -2x Solving -35 + 18x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 18x + 2x = -15 + -2x + 2x Combine like terms: 18x + 2x = 20x -35 + 20x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 20x = -15 + 0 -35 + 20x = -15 Add '35' to each side of the equation. -35 + 35 + 20x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 20x = -15 + 35 20x = -15 + 35 Combine like terms: -15 + 35 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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