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Simplifying 0.17x + -0.51 = 1.43x + -0.79x + -3.529 Reorder the terms: -0.51 + 0.17x = 1.43x + -0.79x + -3.529 Reorder the terms: -0.51 + 0.17x = -3.529 + 1.43x + -0.79x Combine like terms: 1.43x + -0.79x = 0.64x -0.51 + 0.17x = -3.529 + 0.64x Solving -0.51 + 0.17x = -3.529 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. -0.51 + 0.17x + -0.64x = -3.529 + 0.64x + -0.64x Combine like terms: 0.17x + -0.64x = -0.47x -0.51 + -0.47x = -3.529 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 -0.51 + -0.47x = -3.529 + 0.00 -0.51 + -0.47x = -3.529 Add '0.51' to each side of the equation. -0.51 + 0.51 + -0.47x = -3.529 + 0.51 Combine like terms: -0.51 + 0.51 = 0.00 0.00 + -0.47x = -3.529 + 0.51 -0.47x = -3.529 + 0.51 Combine like terms: -3.529 + 0.51 = -3.019 -0.47x = -3.019 Divide each side by '-0.47'. x = 6.423404255 Simplifying x = 6.423404255
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