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Simplifying -3x + -14(5 + 2z) + -5z = -31 -3x + (5 * -14 + 2z * -14) + -5z = -31 -3x + (-70 + -28z) + -5z = -31 Reorder the terms: -70 + -3x + -28z + -5z = -31 Combine like terms: -28z + -5z = -33z -70 + -3x + -33z = -31 Solving -70 + -3x + -33z = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + -3x + 70 + -33z = -31 + 70 Reorder the terms: -70 + 70 + -3x + -33z = -31 + 70 Combine like terms: -70 + 70 = 0 0 + -3x + -33z = -31 + 70 -3x + -33z = -31 + 70 Combine like terms: -31 + 70 = 39 -3x + -33z = 39 Add '33z' to each side of the equation. -3x + -33z + 33z = 39 + 33z Combine like terms: -33z + 33z = 0 -3x + 0 = 39 + 33z -3x = 39 + 33z Divide each side by '-3'. x = -13 + -11z Simplifying x = -13 + -11z
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