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Simplifying 3(x + 7) + -1(4x + -3) = 2z Reorder the terms: 3(7 + x) + -1(4x + -3) = 2z (7 * 3 + x * 3) + -1(4x + -3) = 2z (21 + 3x) + -1(4x + -3) = 2z Reorder the terms: 21 + 3x + -1(-3 + 4x) = 2z 21 + 3x + (-3 * -1 + 4x * -1) = 2z 21 + 3x + (3 + -4x) = 2z Reorder the terms: 21 + 3 + 3x + -4x = 2z Combine like terms: 21 + 3 = 24 24 + 3x + -4x = 2z Combine like terms: 3x + -4x = -1x 24 + -1x = 2z Solving 24 + -1x = 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = -24 + 2z Combine like terms: 24 + -24 = 0 0 + -1x = -24 + 2z -1x = -24 + 2z Divide each side by '-1'. x = 24 + -2z Simplifying x = 24 + -2z
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