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Simplifying 5(4z + 3) + -2(x + 7) = 10 Reorder the terms: 5(3 + 4z) + -2(x + 7) = 10 (3 * 5 + 4z * 5) + -2(x + 7) = 10 (15 + 20z) + -2(x + 7) = 10 Reorder the terms: 15 + 20z + -2(7 + x) = 10 15 + 20z + (7 * -2 + x * -2) = 10 15 + 20z + (-14 + -2x) = 10 Reorder the terms: 15 + -14 + -2x + 20z = 10 Combine like terms: 15 + -14 = 1 1 + -2x + 20z = 10 Solving 1 + -2x + 20z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x + -1 + 20z = 10 + -1 Reorder the terms: 1 + -1 + -2x + 20z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + 20z = 10 + -1 -2x + 20z = 10 + -1 Combine like terms: 10 + -1 = 9 -2x + 20z = 9 Add '-20z' to each side of the equation. -2x + 20z + -20z = 9 + -20z Combine like terms: 20z + -20z = 0 -2x + 0 = 9 + -20z -2x = 9 + -20z Divide each side by '-2'. x = -4.5 + 10z Simplifying x = -4.5 + 10z
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