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Simplifying 1.23x + -4(5x + -8) = 0.85(x + 2) + -6 Reorder the terms: 1.23x + -4(-8 + 5x) = 0.85(x + 2) + -6 1.23x + (-8 * -4 + 5x * -4) = 0.85(x + 2) + -6 1.23x + (32 + -20x) = 0.85(x + 2) + -6 Reorder the terms: 32 + 1.23x + -20x = 0.85(x + 2) + -6 Combine like terms: 1.23x + -20x = -18.77x 32 + -18.77x = 0.85(x + 2) + -6 Reorder the terms: 32 + -18.77x = 0.85(2 + x) + -6 32 + -18.77x = (2 * 0.85 + x * 0.85) + -6 32 + -18.77x = (1.7 + 0.85x) + -6 Reorder the terms: 32 + -18.77x = 1.7 + -6 + 0.85x Combine like terms: 1.7 + -6 = -4.3 32 + -18.77x = -4.3 + 0.85x Solving 32 + -18.77x = -4.3 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 32 + -18.77x + -0.85x = -4.3 + 0.85x + -0.85x Combine like terms: -18.77x + -0.85x = -19.62x 32 + -19.62x = -4.3 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 32 + -19.62x = -4.3 + 0.00 32 + -19.62x = -4.3 Add '-32' to each side of the equation. 32 + -32 + -19.62x = -4.3 + -32 Combine like terms: 32 + -32 = 0 0 + -19.62x = -4.3 + -32 -19.62x = -4.3 + -32 Combine like terms: -4.3 + -32 = -36.3 -19.62x = -36.3 Divide each side by '-19.62'. x = 1.850152905 Simplifying x = 1.850152905
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