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Simplifying -13x + -43 = 7(x + -13) + 4x Reorder the terms: -43 + -13x = 7(x + -13) + 4x Reorder the terms: -43 + -13x = 7(-13 + x) + 4x -43 + -13x = (-13 * 7 + x * 7) + 4x -43 + -13x = (-91 + 7x) + 4x Combine like terms: 7x + 4x = 11x -43 + -13x = -91 + 11x Solving -43 + -13x = -91 + 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. -43 + -13x + -11x = -91 + 11x + -11x Combine like terms: -13x + -11x = -24x -43 + -24x = -91 + 11x + -11x Combine like terms: 11x + -11x = 0 -43 + -24x = -91 + 0 -43 + -24x = -91 Add '43' to each side of the equation. -43 + 43 + -24x = -91 + 43 Combine like terms: -43 + 43 = 0 0 + -24x = -91 + 43 -24x = -91 + 43 Combine like terms: -91 + 43 = -48 -24x = -48 Divide each side by '-24'. x = 2 Simplifying x = 2
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