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Simplifying 5(x + -4) + 3 + -9x = 6 + -1(2x + 5) + 8x Reorder the terms: 5(-4 + x) + 3 + -9x = 6 + -1(2x + 5) + 8x (-4 * 5 + x * 5) + 3 + -9x = 6 + -1(2x + 5) + 8x (-20 + 5x) + 3 + -9x = 6 + -1(2x + 5) + 8x Reorder the terms: -20 + 3 + 5x + -9x = 6 + -1(2x + 5) + 8x Combine like terms: -20 + 3 = -17 -17 + 5x + -9x = 6 + -1(2x + 5) + 8x Combine like terms: 5x + -9x = -4x -17 + -4x = 6 + -1(2x + 5) + 8x Reorder the terms: -17 + -4x = 6 + -1(5 + 2x) + 8x -17 + -4x = 6 + (5 * -1 + 2x * -1) + 8x -17 + -4x = 6 + (-5 + -2x) + 8x Combine like terms: 6 + -5 = 1 -17 + -4x = 1 + -2x + 8x Combine like terms: -2x + 8x = 6x -17 + -4x = 1 + 6x Solving -17 + -4x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + -4x + -6x = 1 + 6x + -6x Combine like terms: -4x + -6x = -10x -17 + -10x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -10x = 1 + 0 -17 + -10x = 1 Add '17' to each side of the equation. -17 + 17 + -10x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 1 + 17 -10x = 1 + 17 Combine like terms: 1 + 17 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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