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Simplifying 3(x + -5) + 2 = 5z + -7 Reorder the terms: 3(-5 + x) + 2 = 5z + -7 (-5 * 3 + x * 3) + 2 = 5z + -7 (-15 + 3x) + 2 = 5z + -7 Reorder the terms: -15 + 2 + 3x = 5z + -7 Combine like terms: -15 + 2 = -13 -13 + 3x = 5z + -7 Reorder the terms: -13 + 3x = -7 + 5z Solving -13 + 3x = -7 + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = -7 + 13 + 5z Combine like terms: -13 + 13 = 0 0 + 3x = -7 + 13 + 5z 3x = -7 + 13 + 5z Combine like terms: -7 + 13 = 6 3x = 6 + 5z Divide each side by '3'. x = 2 + 1.666666667z Simplifying x = 2 + 1.666666667z
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