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Simplifying x2 + -18x + -13 = x2 + -19x + 11 Reorder the terms: -13 + -18x + x2 = x2 + -19x + 11 Reorder the terms: -13 + -18x + x2 = 11 + -19x + x2 Add '-1x2' to each side of the equation. -13 + -18x + x2 + -1x2 = 11 + -19x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + -18x + 0 = 11 + -19x + x2 + -1x2 -13 + -18x = 11 + -19x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + -18x = 11 + -19x + 0 -13 + -18x = 11 + -19x Solving -13 + -18x = 11 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -13 + -18x + 19x = 11 + -19x + 19x Combine like terms: -18x + 19x = 1x -13 + 1x = 11 + -19x + 19x Combine like terms: -19x + 19x = 0 -13 + 1x = 11 + 0 -13 + 1x = 11 Add '13' to each side of the equation. -13 + 13 + 1x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 11 + 13 1x = 11 + 13 Combine like terms: 11 + 13 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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