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Simplifying [-2x + 22 + -3z] = [6x + -2y + 45] Reorder the terms: [22 + -2x + -3z] = [6x + -2y + 45] Remove brackets around [22 + -2x + -3z] 22 + -2x + -3z = [6x + -2y + 45] Reorder the terms: 22 + -2x + -3z = [45 + 6x + -2y] Remove brackets around [45 + 6x + -2y] 22 + -2x + -3z = 45 + 6x + -2y Solving 22 + -2x + -3z = 45 + 6x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -2x + -6x + -3z = 45 + 6x + -6x + -2y Combine like terms: -2x + -6x = -8x 22 + -8x + -3z = 45 + 6x + -6x + -2y Combine like terms: 6x + -6x = 0 22 + -8x + -3z = 45 + 0 + -2y 22 + -8x + -3z = 45 + -2y Add '-22' to each side of the equation. 22 + -8x + -22 + -3z = 45 + -22 + -2y Reorder the terms: 22 + -22 + -8x + -3z = 45 + -22 + -2y Combine like terms: 22 + -22 = 0 0 + -8x + -3z = 45 + -22 + -2y -8x + -3z = 45 + -22 + -2y Combine like terms: 45 + -22 = 23 -8x + -3z = 23 + -2y Add '3z' to each side of the equation. -8x + -3z + 3z = 23 + -2y + 3z Combine like terms: -3z + 3z = 0 -8x + 0 = 23 + -2y + 3z -8x = 23 + -2y + 3z Divide each side by '-8'. x = -2.875 + 0.25y + -0.375z Simplifying x = -2.875 + 0.25y + -0.375z
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