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Simplifying 12 + -6x + 34z = 2x + -24 + -64 Reorder the terms: 12 + -6x + 34z = -24 + -64 + 2x Combine like terms: -24 + -64 = -88 12 + -6x + 34z = -88 + 2x Solving 12 + -6x + 34z = -88 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -6x + -2x + 34z = -88 + 2x + -2x Combine like terms: -6x + -2x = -8x 12 + -8x + 34z = -88 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -8x + 34z = -88 + 0 12 + -8x + 34z = -88 Add '-12' to each side of the equation. 12 + -8x + -12 + 34z = -88 + -12 Reorder the terms: 12 + -12 + -8x + 34z = -88 + -12 Combine like terms: 12 + -12 = 0 0 + -8x + 34z = -88 + -12 -8x + 34z = -88 + -12 Combine like terms: -88 + -12 = -100 -8x + 34z = -100 Add '-34z' to each side of the equation. -8x + 34z + -34z = -100 + -34z Combine like terms: 34z + -34z = 0 -8x + 0 = -100 + -34z -8x = -100 + -34z Divide each side by '-8'. x = 12.5 + 4.25z Simplifying x = 12.5 + 4.25z
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