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Simplifying 13 = 7x + 6(-3x + -7) Reorder the terms: 13 = 7x + 6(-7 + -3x) 13 = 7x + (-7 * 6 + -3x * 6) 13 = 7x + (-42 + -18x) Reorder the terms: 13 = -42 + 7x + -18x Combine like terms: 7x + -18x = -11x 13 = -42 + -11x Solving 13 = -42 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 13 + 11x = -42 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + 11x = -42 + 0 13 + 11x = -42 Add '-13' to each side of the equation. 13 + -13 + 11x = -42 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = -42 + -13 11x = -42 + -13 Combine like terms: -42 + -13 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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