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Simplifying 0.6(x + z) + 0.8(2x + 4) = 17 (x * 0.6 + z * 0.6) + 0.8(2x + 4) = 17 (0.6x + 0.6z) + 0.8(2x + 4) = 17 Reorder the terms: 0.6x + 0.6z + 0.8(4 + 2x) = 17 0.6x + 0.6z + (4 * 0.8 + 2x * 0.8) = 17 0.6x + 0.6z + (3.2 + 1.6x) = 17 Reorder the terms: 3.2 + 0.6x + 1.6x + 0.6z = 17 Combine like terms: 0.6x + 1.6x = 2.2x 3.2 + 2.2x + 0.6z = 17 Solving 3.2 + 2.2x + 0.6z = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + 2.2x + -3.2 + 0.6z = 17 + -3.2 Reorder the terms: 3.2 + -3.2 + 2.2x + 0.6z = 17 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.2x + 0.6z = 17 + -3.2 2.2x + 0.6z = 17 + -3.2 Combine like terms: 17 + -3.2 = 13.8 2.2x + 0.6z = 13.8 Add '-0.6z' to each side of the equation. 2.2x + 0.6z + -0.6z = 13.8 + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 2.2x + 0.0 = 13.8 + -0.6z 2.2x = 13.8 + -0.6z Divide each side by '2.2'. x = 6.272727273 + -0.2727272727z Simplifying x = 6.272727273 + -0.2727272727z
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