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Simplifying -15 = -1(3x + 1) + -1(2x + 9) Reorder the terms: -15 = -1(1 + 3x) + -1(2x + 9) -15 = (1 * -1 + 3x * -1) + -1(2x + 9) -15 = (-1 + -3x) + -1(2x + 9) Reorder the terms: -15 = -1 + -3x + -1(9 + 2x) -15 = -1 + -3x + (9 * -1 + 2x * -1) -15 = -1 + -3x + (-9 + -2x) Reorder the terms: -15 = -1 + -9 + -3x + -2x Combine like terms: -1 + -9 = -10 -15 = -10 + -3x + -2x Combine like terms: -3x + -2x = -5x -15 = -10 + -5x Solving -15 = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + 5x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 5x = -10 + 0 -15 + 5x = -10 Add '15' to each side of the equation. -15 + 15 + 5x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -10 + 15 5x = -10 + 15 Combine like terms: -10 + 15 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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