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Simplifying -13 + -2x = -5 + -3(x + 5) Reorder the terms: -13 + -2x = -5 + -3(5 + x) -13 + -2x = -5 + (5 * -3 + x * -3) -13 + -2x = -5 + (-15 + -3x) Combine like terms: -5 + -15 = -20 -13 + -2x = -20 + -3x Solving -13 + -2x = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -13 + -2x + 3x = -20 + -3x + 3x Combine like terms: -2x + 3x = 1x -13 + 1x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 1x = -20 + 0 -13 + 1x = -20 Add '13' to each side of the equation. -13 + 13 + 1x = -20 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -20 + 13 1x = -20 + 13 Combine like terms: -20 + 13 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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