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Simplifying 8x + -1 = -3(2x + -9) Reorder the terms: -1 + 8x = -3(2x + -9) Reorder the terms: -1 + 8x = -3(-9 + 2x) -1 + 8x = (-9 * -3 + 2x * -3) -1 + 8x = (27 + -6x) Solving -1 + 8x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + 8x + 6x = 27 + -6x + 6x Combine like terms: 8x + 6x = 14x -1 + 14x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 14x = 27 + 0 -1 + 14x = 27 Add '1' to each side of the equation. -1 + 1 + 14x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 27 + 1 14x = 27 + 1 Combine like terms: 27 + 1 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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