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Simplifying 2x + -13 = -3(x + -9) Reorder the terms: -13 + 2x = -3(x + -9) Reorder the terms: -13 + 2x = -3(-9 + x) -13 + 2x = (-9 * -3 + x * -3) -13 + 2x = (27 + -3x) Solving -13 + 2x = 27 + -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 = 27 + -3x + 3x Combine like terms: 2x + 3x = 5x -13 + 5x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 5x = 27 + 0 -13 + 5x = 27 Add '13' to each side of the equation. -13 + 13 + 5x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 27 + 13 5x = 27 + 13 Combine like terms: 27 + 13 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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