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Simplifying 5x + 3(x + -9) = -1(5x + 2) + 1 Reorder the terms: 5x + 3(-9 + x) = -1(5x + 2) + 1 5x + (-9 * 3 + x * 3) = -1(5x + 2) + 1 5x + (-27 + 3x) = -1(5x + 2) + 1 Reorder the terms: -27 + 5x + 3x = -1(5x + 2) + 1 Combine like terms: 5x + 3x = 8x -27 + 8x = -1(5x + 2) + 1 Reorder the terms: -27 + 8x = -1(2 + 5x) + 1 -27 + 8x = (2 * -1 + 5x * -1) + 1 -27 + 8x = (-2 + -5x) + 1 Reorder the terms: -27 + 8x = -2 + 1 + -5x Combine like terms: -2 + 1 = -1 -27 + 8x = -1 + -5x Solving -27 + 8x = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + 8x + 5x = -1 + -5x + 5x Combine like terms: 8x + 5x = 13x -27 + 13x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 13x = -1 + 0 -27 + 13x = -1 Add '27' to each side of the equation. -27 + 27 + 13x = -1 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = -1 + 27 13x = -1 + 27 Combine like terms: -1 + 27 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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