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Simplifying 2x + -13 = -7(x + 7) Reorder the terms: -13 + 2x = -7(x + 7) Reorder the terms: -13 + 2x = -7(7 + x) -13 + 2x = (7 * -7 + x * -7) -13 + 2x = (-49 + -7x) Solving -13 + 2x = -49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -13 + 2x + 7x = -49 + -7x + 7x Combine like terms: 2x + 7x = 9x -13 + 9x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 9x = -49 + 0 -13 + 9x = -49 Add '13' to each side of the equation. -13 + 13 + 9x = -49 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = -49 + 13 9x = -49 + 13 Combine like terms: -49 + 13 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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