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Simplifying -2(x + 3) + -1z = -1x + -4(x + 2) Reorder the terms: -2(3 + x) + -1z = -1x + -4(x + 2) (3 * -2 + x * -2) + -1z = -1x + -4(x + 2) (-6 + -2x) + -1z = -1x + -4(x + 2) Reorder the terms: -6 + -2x + -1z = -1x + -4(2 + x) -6 + -2x + -1z = -1x + (2 * -4 + x * -4) -6 + -2x + -1z = -1x + (-8 + -4x) Reorder the terms: -6 + -2x + -1z = -8 + -1x + -4x Combine like terms: -1x + -4x = -5x -6 + -2x + -1z = -8 + -5x Solving -6 + -2x + -1z = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -2x + 5x + -1z = -8 + -5x + 5x Combine like terms: -2x + 5x = 3x -6 + 3x + -1z = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 3x + -1z = -8 + 0 -6 + 3x + -1z = -8 Add '6' to each side of the equation. -6 + 3x + 6 + -1z = -8 + 6 Reorder the terms: -6 + 6 + 3x + -1z = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + -1z = -8 + 6 3x + -1z = -8 + 6 Combine like terms: -8 + 6 = -2 3x + -1z = -2 Add 'z' to each side of the equation. 3x + -1z + z = -2 + z Combine like terms: -1z + z = 0 3x + 0 = -2 + z 3x = -2 + z Divide each side by '3'. x = -0.6666666667 + 0.3333333333z Simplifying x = -0.6666666667 + 0.3333333333z
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