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Simplifying 5(x + -4) + 3x + -9 = 6 + -1(2x + 5) + 8x Reorder the terms: 5(-4 + x) + 3x + -9 = 6 + -1(2x + 5) + 8x (-4 * 5 + x * 5) + 3x + -9 = 6 + -1(2x + 5) + 8x (-20 + 5x) + 3x + -9 = 6 + -1(2x + 5) + 8x Reorder the terms: -20 + -9 + 5x + 3x = 6 + -1(2x + 5) + 8x Combine like terms: -20 + -9 = -29 -29 + 5x + 3x = 6 + -1(2x + 5) + 8x Combine like terms: 5x + 3x = 8x -29 + 8x = 6 + -1(2x + 5) + 8x Reorder the terms: -29 + 8x = 6 + -1(5 + 2x) + 8x -29 + 8x = 6 + (5 * -1 + 2x * -1) + 8x -29 + 8x = 6 + (-5 + -2x) + 8x Combine like terms: 6 + -5 = 1 -29 + 8x = 1 + -2x + 8x Combine like terms: -2x + 8x = 6x -29 + 8x = 1 + 6x Solving -29 + 8x = 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. -29 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x -29 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + 2x = 1 + 0 -29 + 2x = 1 Add '29' to each side of the equation. -29 + 29 + 2x = 1 + 29 Combine like terms: -29 + 29 = 0 0 + 2x = 1 + 29 2x = 1 + 29 Combine like terms: 1 + 29 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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