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Simplifying (3z + -4.5) + -1(-5.5x + -2) = 0 Reorder the terms: (-4.5 + 3z) + -1(-5.5x + -2) = 0 Remove parenthesis around (-4.5 + 3z) -4.5 + 3z + -1(-5.5x + -2) = 0 Reorder the terms: -4.5 + 3z + -1(-2 + -5.5x) = 0 -4.5 + 3z + (-2 * -1 + -5.5x * -1) = 0 -4.5 + 3z + (2 + 5.5x) = 0 Reorder the terms: -4.5 + 2 + 5.5x + 3z = 0 Combine like terms: -4.5 + 2 = -2.5 -2.5 + 5.5x + 3z = 0 Solving -2.5 + 5.5x + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 5.5x + 2.5 + 3z = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + 5.5x + 3z = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 5.5x + 3z = 0 + 2.5 5.5x + 3z = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 5.5x + 3z = 2.5 Add '-3z' to each side of the equation. 5.5x + 3z + -3z = 2.5 + -3z Combine like terms: 3z + -3z = 0 5.5x + 0 = 2.5 + -3z 5.5x = 2.5 + -3z Divide each side by '5.5'. x = 0.4545454545 + -0.5454545455z Simplifying x = 0.4545454545 + -0.5454545455z
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