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Simplifying -13 = 6X + 7(X + -13) Reorder the terms: -13 = 6X + 7(-13 + X) -13 = 6X + (-13 * 7 + X * 7) -13 = 6X + (-91 + 7X) Reorder the terms: -13 = -91 + 6X + 7X Combine like terms: 6X + 7X = 13X -13 = -91 + 13X Solving -13 = -91 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. -13 + -13X = -91 + 13X + -13X Combine like terms: 13X + -13X = 0 -13 + -13X = -91 + 0 -13 + -13X = -91 Add '13' to each side of the equation. -13 + 13 + -13X = -91 + 13 Combine like terms: -13 + 13 = 0 0 + -13X = -91 + 13 -13X = -91 + 13 Combine like terms: -91 + 13 = -78 -13X = -78 Divide each side by '-13'. X = 6 Simplifying X = 6
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