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Simplifying 17 + -3x + 2 = x + -15 + 6z Reorder the terms: 17 + 2 + -3x = x + -15 + 6z Combine like terms: 17 + 2 = 19 19 + -3x = x + -15 + 6z Reorder the terms: 19 + -3x = -15 + x + 6z Solving 19 + -3x = -15 + x + 6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -3x + -1x = -15 + x + -1x + 6z Combine like terms: -3x + -1x = -4x 19 + -4x = -15 + x + -1x + 6z Combine like terms: x + -1x = 0 19 + -4x = -15 + 0 + 6z 19 + -4x = -15 + 6z Add '-19' to each side of the equation. 19 + -19 + -4x = -15 + -19 + 6z Combine like terms: 19 + -19 = 0 0 + -4x = -15 + -19 + 6z -4x = -15 + -19 + 6z Combine like terms: -15 + -19 = -34 -4x = -34 + 6z Divide each side by '-4'. x = 8.5 + -1.5z Simplifying x = 8.5 + -1.5z
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