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Simplifying (4x + 8y + 10z + -12) * 4 = 0 Reorder the terms: (-12 + 4x + 8y + 10z) * 4 = 0 Reorder the terms for easier multiplication: 4(-12 + 4x + 8y + 10z) = 0 (-12 * 4 + 4x * 4 + 8y * 4 + 10z * 4) = 0 (-48 + 16x + 32y + 40z) = 0 Solving -48 + 16x + 32y + 40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 16x + 32y + 48 + 40z = 0 + 48 Reorder the terms: -48 + 48 + 16x + 32y + 40z = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 16x + 32y + 40z = 0 + 48 16x + 32y + 40z = 0 + 48 Combine like terms: 0 + 48 = 48 16x + 32y + 40z = 48 Add '-32y' to each side of the equation. 16x + 32y + -32y + 40z = 48 + -32y Combine like terms: 32y + -32y = 0 16x + 0 + 40z = 48 + -32y 16x + 40z = 48 + -32y Add '-40z' to each side of the equation. 16x + 40z + -40z = 48 + -32y + -40z Combine like terms: 40z + -40z = 0 16x + 0 = 48 + -32y + -40z 16x = 48 + -32y + -40z Divide each side by '16'. x = 3 + -2y + -2.5z Simplifying x = 3 + -2y + -2.5z
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