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Simplifying x2 + -6x + -7x + 42 = x2 + 7x + -6x + -42 Reorder the terms: 42 + -6x + -7x + x2 = x2 + 7x + -6x + -42 Combine like terms: -6x + -7x = -13x 42 + -13x + x2 = x2 + 7x + -6x + -42 Reorder the terms: 42 + -13x + x2 = -42 + 7x + -6x + x2 Combine like terms: 7x + -6x = 1x 42 + -13x + x2 = -42 + 1x + x2 Add '-1x2' to each side of the equation. 42 + -13x + x2 + -1x2 = -42 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 42 + -13x + 0 = -42 + 1x + x2 + -1x2 42 + -13x = -42 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 42 + -13x = -42 + 1x + 0 42 + -13x = -42 + 1x Solving 42 + -13x = -42 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + -13x + -1x = -42 + 1x + -1x Combine like terms: -13x + -1x = -14x 42 + -14x = -42 + 1x + -1x Combine like terms: 1x + -1x = 0 42 + -14x = -42 + 0 42 + -14x = -42 Add '-42' to each side of the equation. 42 + -42 + -14x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -14x = -42 + -42 -14x = -42 + -42 Combine like terms: -42 + -42 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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