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Simplifying (5z + -3x + -3) + -1(3z + -1x + -2) = 0 Reorder the terms: (-3 + -3x + 5z) + -1(3z + -1x + -2) = 0 Remove parenthesis around (-3 + -3x + 5z) -3 + -3x + 5z + -1(3z + -1x + -2) = 0 Reorder the terms: -3 + -3x + 5z + -1(-2 + -1x + 3z) = 0 -3 + -3x + 5z + (-2 * -1 + -1x * -1 + 3z * -1) = 0 -3 + -3x + 5z + (2 + 1x + -3z) = 0 Reorder the terms: -3 + 2 + -3x + 1x + 5z + -3z = 0 Combine like terms: -3 + 2 = -1 -1 + -3x + 1x + 5z + -3z = 0 Combine like terms: -3x + 1x = -2x -1 + -2x + 5z + -3z = 0 Combine like terms: 5z + -3z = 2z -1 + -2x + 2z = 0 Solving -1 + -2x + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2x + 1 + 2z = 0 + 1 Reorder the terms: -1 + 1 + -2x + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + 2z = 0 + 1 -2x + 2z = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + 2z = 1 Add '-2z' to each side of the equation. -2x + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 -2x + 0 = 1 + -2z -2x = 1 + -2z Divide each side by '-2'. x = -0.5 + z Simplifying x = -0.5 + z
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