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Simplifying 5(x + -4) + 3x + -9x = 6 + -2x + -5 + 8 Reorder the terms: 5(-4 + x) + 3x + -9x = 6 + -2x + -5 + 8 (-4 * 5 + x * 5) + 3x + -9x = 6 + -2x + -5 + 8 (-20 + 5x) + 3x + -9x = 6 + -2x + -5 + 8 Combine like terms: 5x + 3x = 8x -20 + 8x + -9x = 6 + -2x + -5 + 8 Combine like terms: 8x + -9x = -1x -20 + -1x = 6 + -2x + -5 + 8 Reorder the terms: -20 + -1x = 6 + -5 + 8 + -2x Combine like terms: 6 + -5 = 1 -20 + -1x = 1 + 8 + -2x Combine like terms: 1 + 8 = 9 -20 + -1x = 9 + -2x Solving -20 + -1x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -1x + 2x = 9 + -2x + 2x Combine like terms: -1x + 2x = 1x -20 + 1x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 1x = 9 + 0 -20 + 1x = 9 Add '20' to each side of the equation. -20 + 20 + 1x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 9 + 20 1x = 9 + 20 Combine like terms: 9 + 20 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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