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Simplifying (7z + 2) + -1(3x + -5) = 15 Reorder the terms: (2 + 7z) + -1(3x + -5) = 15 Remove parenthesis around (2 + 7z) 2 + 7z + -1(3x + -5) = 15 Reorder the terms: 2 + 7z + -1(-5 + 3x) = 15 2 + 7z + (-5 * -1 + 3x * -1) = 15 2 + 7z + (5 + -3x) = 15 Reorder the terms: 2 + 5 + -3x + 7z = 15 Combine like terms: 2 + 5 = 7 7 + -3x + 7z = 15 Solving 7 + -3x + 7z = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3x + -7 + 7z = 15 + -7 Reorder the terms: 7 + -7 + -3x + 7z = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -3x + 7z = 15 + -7 -3x + 7z = 15 + -7 Combine like terms: 15 + -7 = 8 -3x + 7z = 8 Add '-7z' to each side of the equation. -3x + 7z + -7z = 8 + -7z Combine like terms: 7z + -7z = 0 -3x + 0 = 8 + -7z -3x = 8 + -7z Divide each side by '-3'. x = -2.666666667 + 2.333333333z Simplifying x = -2.666666667 + 2.333333333z
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