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Simplifying -4x + 8 + -7z = -19 + -12x + 16 Reorder the terms: 8 + -4x + -7z = -19 + -12x + 16 Reorder the terms: 8 + -4x + -7z = -19 + 16 + -12x Combine like terms: -19 + 16 = -3 8 + -4x + -7z = -3 + -12x Solving 8 + -4x + -7z = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -4x + 12x + -7z = -3 + -12x + 12x Combine like terms: -4x + 12x = 8x 8 + 8x + -7z = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 8x + -7z = -3 + 0 8 + 8x + -7z = -3 Add '-8' to each side of the equation. 8 + 8x + -8 + -7z = -3 + -8 Reorder the terms: 8 + -8 + 8x + -7z = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 8x + -7z = -3 + -8 8x + -7z = -3 + -8 Combine like terms: -3 + -8 = -11 8x + -7z = -11 Add '7z' to each side of the equation. 8x + -7z + 7z = -11 + 7z Combine like terms: -7z + 7z = 0 8x + 0 = -11 + 7z 8x = -11 + 7z Divide each side by '8'. x = -1.375 + 0.875z Simplifying x = -1.375 + 0.875z
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