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Simplifying 9(x + -6) + -5x + 20 + -7(4 + 2x) + -3x + (-3 + -8x)(5) = 0 Reorder the terms: 9(-6 + x) + -5x + 20 + -7(4 + 2x) + -3x + (-3 + -8x)(5) = 0 (-6 * 9 + x * 9) + -5x + 20 + -7(4 + 2x) + -3x + (-3 + -8x)(5) = 0 (-54 + 9x) + -5x + 20 + -7(4 + 2x) + -3x + (-3 + -8x)(5) = 0 -54 + 9x + -5x + 20 + (4 * -7 + 2x * -7) + -3x + (-3 + -8x)(5) = 0 -54 + 9x + -5x + 20 + (-28 + -14x) + -3x + (-3 + -8x)(5) = 0 Reorder the terms for easier multiplication: -54 + 9x + -5x + 20 + -28 + -14x + -3x + 5(-3 + -8x) = 0 -54 + 9x + -5x + 20 + -28 + -14x + -3x + (-3 * 5 + -8x * 5) = 0 -54 + 9x + -5x + 20 + -28 + -14x + -3x + (-15 + -40x) = 0 Reorder the terms: -54 + 20 + -28 + -15 + 9x + -5x + -14x + -3x + -40x = 0 Combine like terms: -54 + 20 = -34 -34 + -28 + -15 + 9x + -5x + -14x + -3x + -40x = 0 Combine like terms: -34 + -28 = -62 -62 + -15 + 9x + -5x + -14x + -3x + -40x = 0 Combine like terms: -62 + -15 = -77 -77 + 9x + -5x + -14x + -3x + -40x = 0 Combine like terms: 9x + -5x = 4x -77 + 4x + -14x + -3x + -40x = 0 Combine like terms: 4x + -14x = -10x -77 + -10x + -3x + -40x = 0 Combine like terms: -10x + -3x = -13x -77 + -13x + -40x = 0 Combine like terms: -13x + -40x = -53x -77 + -53x = 0 Solving -77 + -53x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -53x = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -53x = 0 + 77 -53x = 0 + 77 Combine like terms: 0 + 77 = 77 -53x = 77 Divide each side by '-53'. x = -1.452830189 Simplifying x = -1.452830189
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