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Simplifying 1x + -13 = 7(13x + 12) Reorder the terms: -13 + 1x = 7(13x + 12) Reorder the terms: -13 + 1x = 7(12 + 13x) -13 + 1x = (12 * 7 + 13x * 7) -13 + 1x = (84 + 91x) Solving -13 + 1x = 84 + 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. -13 + 1x + -91x = 84 + 91x + -91x Combine like terms: 1x + -91x = -90x -13 + -90x = 84 + 91x + -91x Combine like terms: 91x + -91x = 0 -13 + -90x = 84 + 0 -13 + -90x = 84 Add '13' to each side of the equation. -13 + 13 + -90x = 84 + 13 Combine like terms: -13 + 13 = 0 0 + -90x = 84 + 13 -90x = 84 + 13 Combine like terms: 84 + 13 = 97 -90x = 97 Divide each side by '-90'. x = -1.077777778 Simplifying x = -1.077777778
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