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