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Simplifying 5 + 3(7x + -9) + -4x = -9 + -0.667x + 7 Reorder the terms: 5 + 3(-9 + 7x) + -4x = -9 + -0.667x + 7 5 + (-9 * 3 + 7x * 3) + -4x = -9 + -0.667x + 7 5 + (-27 + 21x) + -4x = -9 + -0.667x + 7 Combine like terms: 5 + -27 = -22 -22 + 21x + -4x = -9 + -0.667x + 7 Combine like terms: 21x + -4x = 17x -22 + 17x = -9 + -0.667x + 7 Reorder the terms: -22 + 17x = -9 + 7 + -0.667x Combine like terms: -9 + 7 = -2 -22 + 17x = -2 + -0.667x Solving -22 + 17x = -2 + -0.667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.667x' to each side of the equation. -22 + 17x + 0.667x = -2 + -0.667x + 0.667x Combine like terms: 17x + 0.667x = 17.667x -22 + 17.667x = -2 + -0.667x + 0.667x Combine like terms: -0.667x + 0.667x = 0.000 -22 + 17.667x = -2 + 0.000 -22 + 17.667x = -2 Add '22' to each side of the equation. -22 + 22 + 17.667x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 17.667x = -2 + 22 17.667x = -2 + 22 Combine like terms: -2 + 22 = 20 17.667x = 20 Divide each side by '17.667'. x = 1.132054112 Simplifying x = 1.132054112
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