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Simplifying 0.3(3 + -2x) + -1(2 + z) = 0 (3 * 0.3 + -2x * 0.3) + -1(2 + z) = 0 (0.9 + -0.6x) + -1(2 + z) = 0 0.9 + -0.6x + (2 * -1 + z * -1) = 0 0.9 + -0.6x + (-2 + -1z) = 0 Reorder the terms: 0.9 + -2 + -0.6x + -1z = 0 Combine like terms: 0.9 + -2 = -1.1 -1.1 + -0.6x + -1z = 0 Solving -1.1 + -0.6x + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1' to each side of the equation. -1.1 + -0.6x + 1.1 + -1z = 0 + 1.1 Reorder the terms: -1.1 + 1.1 + -0.6x + -1z = 0 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -0.6x + -1z = 0 + 1.1 -0.6x + -1z = 0 + 1.1 Combine like terms: 0 + 1.1 = 1.1 -0.6x + -1z = 1.1 Add 'z' to each side of the equation. -0.6x + -1z + z = 1.1 + z Combine like terms: -1z + z = 0 -0.6x + 0 = 1.1 + z -0.6x = 1.1 + z Divide each side by '-0.6'. x = -1.833333333 + -1.666666667z Simplifying x = -1.833333333 + -1.666666667z
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