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Simplifying 3.2(2z + -3x) + 4(1.1 + x) + -2z = 0 Reorder the terms: 3.2(-3x + 2z) + 4(1.1 + x) + -2z = 0 (-3x * 3.2 + 2z * 3.2) + 4(1.1 + x) + -2z = 0 (-9.6x + 6.4z) + 4(1.1 + x) + -2z = 0 -9.6x + 6.4z + (1.1 * 4 + x * 4) + -2z = 0 -9.6x + 6.4z + (4.4 + 4x) + -2z = 0 Reorder the terms: 4.4 + -9.6x + 4x + 6.4z + -2z = 0 Combine like terms: -9.6x + 4x = -5.6x 4.4 + -5.6x + 6.4z + -2z = 0 Combine like terms: 6.4z + -2z = 4.4z 4.4 + -5.6x + 4.4z = 0 Solving 4.4 + -5.6x + 4.4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.4' to each side of the equation. 4.4 + -5.6x + -4.4 + 4.4z = 0 + -4.4 Reorder the terms: 4.4 + -4.4 + -5.6x + 4.4z = 0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -5.6x + 4.4z = 0 + -4.4 -5.6x + 4.4z = 0 + -4.4 Combine like terms: 0 + -4.4 = -4.4 -5.6x + 4.4z = -4.4 Add '-4.4z' to each side of the equation. -5.6x + 4.4z + -4.4z = -4.4 + -4.4z Combine like terms: 4.4z + -4.4z = 0.0 -5.6x + 0.0 = -4.4 + -4.4z -5.6x = -4.4 + -4.4z Divide each side by '-5.6'. x = 0.7857142857 + 0.7857142857z Simplifying x = 0.7857142857 + 0.7857142857z
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