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Simplifying 5(x + -4) + 3x + -9x = (2x + 5) + 8x Reorder the terms: 5(-4 + x) + 3x + -9x = (2x + 5) + 8x (-4 * 5 + x * 5) + 3x + -9x = (2x + 5) + 8x (-20 + 5x) + 3x + -9x = (2x + 5) + 8x Combine like terms: 5x + 3x = 8x -20 + 8x + -9x = (2x + 5) + 8x Combine like terms: 8x + -9x = -1x -20 + -1x = (2x + 5) + 8x Reorder the terms: -20 + -1x = (5 + 2x) + 8x Remove parenthesis around (5 + 2x) -20 + -1x = 5 + 2x + 8x Combine like terms: 2x + 8x = 10x -20 + -1x = 5 + 10x Solving -20 + -1x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + -1x + -10x = 5 + 10x + -10x Combine like terms: -1x + -10x = -11x -20 + -11x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -11x = 5 + 0 -20 + -11x = 5 Add '20' to each side of the equation. -20 + 20 + -11x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 5 + 20 -11x = 5 + 20 Combine like terms: 5 + 20 = 25 -11x = 25 Divide each side by '-11'. x = -2.272727273 Simplifying x = -2.272727273
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