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Simplifying 10x + -7y + 3z + 54 = 6 Reorder the terms: 54 + 10x + -7y + 3z = 6 Solving 54 + 10x + -7y + 3z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 10x + -7y + -54 + 3z = 6 + -54 Reorder the terms: 54 + -54 + 10x + -7y + 3z = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 10x + -7y + 3z = 6 + -54 10x + -7y + 3z = 6 + -54 Combine like terms: 6 + -54 = -48 10x + -7y + 3z = -48 Add '7y' to each side of the equation. 10x + -7y + 7y + 3z = -48 + 7y Combine like terms: -7y + 7y = 0 10x + 0 + 3z = -48 + 7y 10x + 3z = -48 + 7y Add '-3z' to each side of the equation. 10x + 3z + -3z = -48 + 7y + -3z Combine like terms: 3z + -3z = 0 10x + 0 = -48 + 7y + -3z 10x = -48 + 7y + -3z Divide each side by '10'. x = -4.8 + 0.7y + -0.3z Simplifying x = -4.8 + 0.7y + -0.3z
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