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Simplifying 8x + -1(5x + 9) = 3x + -5x + -1(x + 3) Reorder the terms: 8x + -1(9 + 5x) = 3x + -5x + -1(x + 3) 8x + (9 * -1 + 5x * -1) = 3x + -5x + -1(x + 3) 8x + (-9 + -5x) = 3x + -5x + -1(x + 3) Reorder the terms: -9 + 8x + -5x = 3x + -5x + -1(x + 3) Combine like terms: 8x + -5x = 3x -9 + 3x = 3x + -5x + -1(x + 3) Reorder the terms: -9 + 3x = 3x + -5x + -1(3 + x) -9 + 3x = 3x + -5x + (3 * -1 + x * -1) -9 + 3x = 3x + -5x + (-3 + -1x) Reorder the terms: -9 + 3x = -3 + 3x + -5x + -1x Combine like terms: 3x + -5x = -2x -9 + 3x = -3 + -2x + -1x Combine like terms: -2x + -1x = -3x -9 + 3x = -3 + -3x Solving -9 + 3x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 3x + 3x = -3 + -3x + 3x Combine like terms: 3x + 3x = 6x -9 + 6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 6x = -3 + 0 -9 + 6x = -3 Add '9' to each side of the equation. -9 + 9 + 6x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -3 + 9 6x = -3 + 9 Combine like terms: -3 + 9 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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