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Simplifying 3x + -5 = 19 + -1(x + -1z) Reorder the terms: -5 + 3x = 19 + -1(x + -1z) -5 + 3x = 19 + (x * -1 + -1z * -1) -5 + 3x = 19 + (-1x + 1z) Solving -5 + 3x = 19 + -1x + 1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 3x + x = 19 + -1x + x + 1z Combine like terms: 3x + x = 4x -5 + 4x = 19 + -1x + x + 1z Combine like terms: -1x + x = 0 -5 + 4x = 19 + 0 + 1z -5 + 4x = 19 + 1z Add '5' to each side of the equation. -5 + 5 + 4x = 19 + 5 + 1z Combine like terms: -5 + 5 = 0 0 + 4x = 19 + 5 + 1z 4x = 19 + 5 + 1z Combine like terms: 19 + 5 = 24 4x = 24 + 1z Divide each side by '4'. x = 6 + 0.25z Simplifying x = 6 + 0.25z
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