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Simplifying 20 = z + [1.5x(15 + -1z)] 20 = z + [(15 * 1.5x + -1z * 1.5x)] 20 = z + [(22.5x + -1.5xz)] 20 = z + [22.5x + -1.5xz] Remove brackets around [22.5x + -1.5xz] 20 = z + 22.5x + -1.5xz Reorder the terms: 20 = 22.5x + -1.5xz + z Solving 20 = 22.5x + -1.5xz + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5x' to each side of the equation. 20 + -22.5x = 22.5x + -1.5xz + -22.5x + z Reorder the terms: 20 + -22.5x = 22.5x + -22.5x + -1.5xz + z Combine like terms: 22.5x + -22.5x = 0.0 20 + -22.5x = 0.0 + -1.5xz + z 20 + -22.5x = -1.5xz + z Add '1.5xz' to each side of the equation. 20 + -22.5x + 1.5xz = -1.5xz + 1.5xz + z Combine like terms: -1.5xz + 1.5xz = 0.0 20 + -22.5x + 1.5xz = 0.0 + z 20 + -22.5x + 1.5xz = z Add '-20' to each side of the equation. 20 + -22.5x + -20 + 1.5xz = -20 + z Reorder the terms: 20 + -20 + -22.5x + 1.5xz = -20 + z Combine like terms: 20 + -20 = 0 0 + -22.5x + 1.5xz = -20 + z -22.5x + 1.5xz = -20 + z Reorder the terms: 20 + -22.5x + 1.5xz + -1z = -20 + z + 20 + -1z Reorder the terms: 20 + -22.5x + 1.5xz + -1z = -20 + 20 + z + -1z Combine like terms: -20 + 20 = 0 20 + -22.5x + 1.5xz + -1z = 0 + z + -1z 20 + -22.5x + 1.5xz + -1z = z + -1z Combine like terms: z + -1z = 0 20 + -22.5x + 1.5xz + -1z = 0 The solution to this equation could not be determined.
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