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Simplifying 9x + -4(x + 5) = 8(x + 3) + 1 Reorder the terms: 9x + -4(5 + x) = 8(x + 3) + 1 9x + (5 * -4 + x * -4) = 8(x + 3) + 1 9x + (-20 + -4x) = 8(x + 3) + 1 Reorder the terms: -20 + 9x + -4x = 8(x + 3) + 1 Combine like terms: 9x + -4x = 5x -20 + 5x = 8(x + 3) + 1 Reorder the terms: -20 + 5x = 8(3 + x) + 1 -20 + 5x = (3 * 8 + x * 8) + 1 -20 + 5x = (24 + 8x) + 1 Reorder the terms: -20 + 5x = 24 + 1 + 8x Combine like terms: 24 + 1 = 25 -20 + 5x = 25 + 8x Solving -20 + 5x = 25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 5x + -8x = 25 + 8x + -8x Combine like terms: 5x + -8x = -3x -20 + -3x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -3x = 25 + 0 -20 + -3x = 25 Add '20' to each side of the equation. -20 + 20 + -3x = 25 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 25 + 20 -3x = 25 + 20 Combine like terms: 25 + 20 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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