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Simplifying 18 + 3x + -5 = 7x + -14 + -1z Reorder the terms: 18 + -5 + 3x = 7x + -14 + -1z Combine like terms: 18 + -5 = 13 13 + 3x = 7x + -14 + -1z Reorder the terms: 13 + 3x = -14 + 7x + -1z Solving 13 + 3x = -14 + 7x + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 3x + -7x = -14 + 7x + -7x + -1z Combine like terms: 3x + -7x = -4x 13 + -4x = -14 + 7x + -7x + -1z Combine like terms: 7x + -7x = 0 13 + -4x = -14 + 0 + -1z 13 + -4x = -14 + -1z Add '-13' to each side of the equation. 13 + -13 + -4x = -14 + -13 + -1z Combine like terms: 13 + -13 = 0 0 + -4x = -14 + -13 + -1z -4x = -14 + -13 + -1z Combine like terms: -14 + -13 = -27 -4x = -27 + -1z Divide each side by '-4'. x = 6.75 + 0.25z Simplifying x = 6.75 + 0.25z
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