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Simplifying x + 2x + -1z + 7 = 4x + -1x + 2 Reorder the terms: 7 + x + 2x + -1z = 4x + -1x + 2 Combine like terms: x + 2x = 3x 7 + 3x + -1z = 4x + -1x + 2 Reorder the terms: 7 + 3x + -1z = 2 + 4x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x + -1z = 2 + 3x Add '-3x' to each side of the equation. 7 + 3x + -3x + -1z = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 0 + -1z = 2 + 3x + -3x 7 + -1z = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1z = 2 + 0 7 + -1z = 2 Solving 7 + -1z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 2 + -7 -1z = 2 + -7 Combine like terms: 2 + -7 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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