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Simplifying 5(4z + 3) + -1(2x + 7) = 10 Reorder the terms: 5(3 + 4z) + -1(2x + 7) = 10 (3 * 5 + 4z * 5) + -1(2x + 7) = 10 (15 + 20z) + -1(2x + 7) = 10 Reorder the terms: 15 + 20z + -1(7 + 2x) = 10 15 + 20z + (7 * -1 + 2x * -1) = 10 15 + 20z + (-7 + -2x) = 10 Reorder the terms: 15 + -7 + -2x + 20z = 10 Combine like terms: 15 + -7 = 8 8 + -2x + 20z = 10 Solving 8 + -2x + 20z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2x + -8 + 20z = 10 + -8 Reorder the terms: 8 + -8 + -2x + 20z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + 20z = 10 + -8 -2x + 20z = 10 + -8 Combine like terms: 10 + -8 = 2 -2x + 20z = 2 Add '-20z' to each side of the equation. -2x + 20z + -20z = 2 + -20z Combine like terms: 20z + -20z = 0 -2x + 0 = 2 + -20z -2x = 2 + -20z Divide each side by '-2'. x = -1 + 10z Simplifying x = -1 + 10z
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