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Simplifying 5(x + 4) + 4(x + 1) + -1(x + 7) = 0 Reorder the terms: 5(4 + x) + 4(x + 1) + -1(x + 7) = 0 (4 * 5 + x * 5) + 4(x + 1) + -1(x + 7) = 0 (20 + 5x) + 4(x + 1) + -1(x + 7) = 0 Reorder the terms: 20 + 5x + 4(1 + x) + -1(x + 7) = 0 20 + 5x + (1 * 4 + x * 4) + -1(x + 7) = 0 20 + 5x + (4 + 4x) + -1(x + 7) = 0 Reorder the terms: 20 + 5x + 4 + 4x + -1(7 + x) = 0 20 + 5x + 4 + 4x + (7 * -1 + x * -1) = 0 20 + 5x + 4 + 4x + (-7 + -1x) = 0 Reorder the terms: 20 + 4 + -7 + 5x + 4x + -1x = 0 Combine like terms: 20 + 4 = 24 24 + -7 + 5x + 4x + -1x = 0 Combine like terms: 24 + -7 = 17 17 + 5x + 4x + -1x = 0 Combine like terms: 5x + 4x = 9x 17 + 9x + -1x = 0 Combine like terms: 9x + -1x = 8x 17 + 8x = 0 Solving 17 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 0 + -17 8x = 0 + -17 Combine like terms: 0 + -17 = -17 8x = -17 Divide each side by '8'. x = -2.125 Simplifying x = -2.125
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