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Simplifying 6x + -4(5x + 9) = 4(2x + 3) + 9 Reorder the terms: 6x + -4(9 + 5x) = 4(2x + 3) + 9 6x + (9 * -4 + 5x * -4) = 4(2x + 3) + 9 6x + (-36 + -20x) = 4(2x + 3) + 9 Reorder the terms: -36 + 6x + -20x = 4(2x + 3) + 9 Combine like terms: 6x + -20x = -14x -36 + -14x = 4(2x + 3) + 9 Reorder the terms: -36 + -14x = 4(3 + 2x) + 9 -36 + -14x = (3 * 4 + 2x * 4) + 9 -36 + -14x = (12 + 8x) + 9 Reorder the terms: -36 + -14x = 12 + 9 + 8x Combine like terms: 12 + 9 = 21 -36 + -14x = 21 + 8x Solving -36 + -14x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + -14x + -8x = 21 + 8x + -8x Combine like terms: -14x + -8x = -22x -36 + -22x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -22x = 21 + 0 -36 + -22x = 21 Add '36' to each side of the equation. -36 + 36 + -22x = 21 + 36 Combine like terms: -36 + 36 = 0 0 + -22x = 21 + 36 -22x = 21 + 36 Combine like terms: 21 + 36 = 57 -22x = 57 Divide each side by '-22'. x = -2.590909091 Simplifying x = -2.590909091
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