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Simplifying 7(9.63x + -0.32) + -5.12 = -2(67.28x + 3.01) Reorder the terms: 7(-0.32 + 9.63x) + -5.12 = -2(67.28x + 3.01) (-0.32 * 7 + 9.63x * 7) + -5.12 = -2(67.28x + 3.01) (-2.24 + 67.41x) + -5.12 = -2(67.28x + 3.01) Reorder the terms: -2.24 + -5.12 + 67.41x = -2(67.28x + 3.01) Combine like terms: -2.24 + -5.12 = -7.36 -7.36 + 67.41x = -2(67.28x + 3.01) Reorder the terms: -7.36 + 67.41x = -2(3.01 + 67.28x) -7.36 + 67.41x = (3.01 * -2 + 67.28x * -2) -7.36 + 67.41x = (-6.02 + -134.56x) Solving -7.36 + 67.41x = -6.02 + -134.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '134.56x' to each side of the equation. -7.36 + 67.41x + 134.56x = -6.02 + -134.56x + 134.56x Combine like terms: 67.41x + 134.56x = 201.97x -7.36 + 201.97x = -6.02 + -134.56x + 134.56x Combine like terms: -134.56x + 134.56x = 0.00 -7.36 + 201.97x = -6.02 + 0.00 -7.36 + 201.97x = -6.02 Add '7.36' to each side of the equation. -7.36 + 7.36 + 201.97x = -6.02 + 7.36 Combine like terms: -7.36 + 7.36 = 0.00 0.00 + 201.97x = -6.02 + 7.36 201.97x = -6.02 + 7.36 Combine like terms: -6.02 + 7.36 = 1.34 201.97x = 1.34 Divide each side by '201.97'. x = 0.00663464871 Simplifying x = 0.00663464871
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