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Simplifying -2 = -2(x + 1) + -3(x + -5) Reorder the terms: -2 = -2(1 + x) + -3(x + -5) -2 = (1 * -2 + x * -2) + -3(x + -5) -2 = (-2 + -2x) + -3(x + -5) Reorder the terms: -2 = -2 + -2x + -3(-5 + x) -2 = -2 + -2x + (-5 * -3 + x * -3) -2 = -2 + -2x + (15 + -3x) Reorder the terms: -2 = -2 + 15 + -2x + -3x Combine like terms: -2 + 15 = 13 -2 = 13 + -2x + -3x Combine like terms: -2x + -3x = -5x -2 = 13 + -5x Solving -2 = 13 + -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. -2 + 5x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 5x = 13 + 0 -2 + 5x = 13 Add '2' to each side of the equation. -2 + 2 + 5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 13 + 2 5x = 13 + 2 Combine like terms: 13 + 2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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