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Simplifying 13x + -15 + -6x = 1 + -1(7x + 9) Reorder the terms: -15 + 13x + -6x = 1 + -1(7x + 9) Combine like terms: 13x + -6x = 7x -15 + 7x = 1 + -1(7x + 9) Reorder the terms: -15 + 7x = 1 + -1(9 + 7x) -15 + 7x = 1 + (9 * -1 + 7x * -1) -15 + 7x = 1 + (-9 + -7x) Combine like terms: 1 + -9 = -8 -15 + 7x = -8 + -7x Solving -15 + 7x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 7x + 7x = -8 + -7x + 7x Combine like terms: 7x + 7x = 14x -15 + 14x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 14x = -8 + 0 -15 + 14x = -8 Add '15' to each side of the equation. -15 + 15 + 14x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = -8 + 15 14x = -8 + 15 Combine like terms: -8 + 15 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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