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Simplifying -2x + -13 = 3(x + -3) + 6 Reorder the terms: -13 + -2x = 3(x + -3) + 6 Reorder the terms: -13 + -2x = 3(-3 + x) + 6 -13 + -2x = (-3 * 3 + x * 3) + 6 -13 + -2x = (-9 + 3x) + 6 Reorder the terms: -13 + -2x = -9 + 6 + 3x Combine like terms: -9 + 6 = -3 -13 + -2x = -3 + 3x Solving -13 + -2x = -3 + 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 = -3 + 3x + -3x Combine like terms: -2x + -3x = -5x -13 + -5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -5x = -3 + 0 -13 + -5x = -3 Add '13' to each side of the equation. -13 + 13 + -5x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = -3 + 13 -5x = -3 + 13 Combine like terms: -3 + 13 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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