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Simplifying 4x + 3.5y + 4z = 8x + 7y + 4z + -46000 Reorder the terms: 4x + 3.5y + 4z = -46000 + 8x + 7y + 4z Add '-4z' to each side of the equation. 4x + 3.5y + 4z + -4z = -46000 + 8x + 7y + 4z + -4z Combine like terms: 4z + -4z = 0 4x + 3.5y + 0 = -46000 + 8x + 7y + 4z + -4z 4x + 3.5y = -46000 + 8x + 7y + 4z + -4z Combine like terms: 4z + -4z = 0 4x + 3.5y = -46000 + 8x + 7y + 0 4x + 3.5y = -46000 + 8x + 7y Solving 4x + 3.5y = -46000 + 8x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x + 3.5y = -46000 + 8x + -8x + 7y Combine like terms: 4x + -8x = -4x -4x + 3.5y = -46000 + 8x + -8x + 7y Combine like terms: 8x + -8x = 0 -4x + 3.5y = -46000 + 0 + 7y -4x + 3.5y = -46000 + 7y Add '-3.5y' to each side of the equation. -4x + 3.5y + -3.5y = -46000 + 7y + -3.5y Combine like terms: 3.5y + -3.5y = 0.0 -4x + 0.0 = -46000 + 7y + -3.5y -4x = -46000 + 7y + -3.5y Combine like terms: 7y + -3.5y = 3.5y -4x = -46000 + 3.5y Divide each side by '-4'. x = 11500 + -0.875y Simplifying x = 11500 + -0.875y
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