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Simplifying 12x + 6(-10 + -1x) * 7z = -35 Reorder the terms for easier multiplication: 12x + 6 * 7z(-10 + -1x) = -35 Multiply 6 * 7 12x + 42z(-10 + -1x) = -35 12x + (-10 * 42z + -1x * 42z) = -35 Reorder the terms: 12x + (-42xz + -420z) = -35 12x + (-42xz + -420z) = -35 Solving 12x + -42xz + -420z = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '420z' to each side of the equation. 12x + -42xz + -420z + 420z = -35 + 420z Combine like terms: -420z + 420z = 0 12x + -42xz + 0 = -35 + 420z 12x + -42xz = -35 + 420z Reorder the terms: 35 + 12x + -42xz + -420z = -35 + 420z + 35 + -420z Reorder the terms: 35 + 12x + -42xz + -420z = -35 + 35 + 420z + -420z Combine like terms: -35 + 35 = 0 35 + 12x + -42xz + -420z = 0 + 420z + -420z 35 + 12x + -42xz + -420z = 420z + -420z Combine like terms: 420z + -420z = 0 35 + 12x + -42xz + -420z = 0 The solution to this equation could not be determined.
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