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Simplifying 49 = -7x + -6(x + 7) Reorder the terms: 49 = -7x + -6(7 + x) 49 = -7x + (7 * -6 + x * -6) 49 = -7x + (-42 + -6x) Reorder the terms: 49 = -42 + -7x + -6x Combine like terms: -7x + -6x = -13x 49 = -42 + -13x Solving 49 = -42 + -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. 49 + 13x = -42 + -13x + 13x Combine like terms: -13x + 13x = 0 49 + 13x = -42 + 0 49 + 13x = -42 Add '-49' to each side of the equation. 49 + -49 + 13x = -42 + -49 Combine like terms: 49 + -49 = 0 0 + 13x = -42 + -49 13x = -42 + -49 Combine like terms: -42 + -49 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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