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Simplifying 5(x + -4) + 3x + -9x = 6 + -1(2x + 5) + 6x Reorder the terms: 5(-4 + x) + 3x + -9x = 6 + -1(2x + 5) + 6x (-4 * 5 + x * 5) + 3x + -9x = 6 + -1(2x + 5) + 6x (-20 + 5x) + 3x + -9x = 6 + -1(2x + 5) + 6x Combine like terms: 5x + 3x = 8x -20 + 8x + -9x = 6 + -1(2x + 5) + 6x Combine like terms: 8x + -9x = -1x -20 + -1x = 6 + -1(2x + 5) + 6x Reorder the terms: -20 + -1x = 6 + -1(5 + 2x) + 6x -20 + -1x = 6 + (5 * -1 + 2x * -1) + 6x -20 + -1x = 6 + (-5 + -2x) + 6x Combine like terms: 6 + -5 = 1 -20 + -1x = 1 + -2x + 6x Combine like terms: -2x + 6x = 4x -20 + -1x = 1 + 4x Solving -20 + -1x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + -1x + -4x = 1 + 4x + -4x Combine like terms: -1x + -4x = -5x -20 + -5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -5x = 1 + 0 -20 + -5x = 1 Add '20' to each side of the equation. -20 + 20 + -5x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 1 + 20 -5x = 1 + 20 Combine like terms: 1 + 20 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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