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Simplifying 4(y + -3) + 8x = 2(z + -4) + 2 Reorder the terms: 4(-3 + y) + 8x = 2(z + -4) + 2 (-3 * 4 + y * 4) + 8x = 2(z + -4) + 2 (-12 + 4y) + 8x = 2(z + -4) + 2 Reorder the terms: -12 + 8x + 4y = 2(z + -4) + 2 Reorder the terms: -12 + 8x + 4y = 2(-4 + z) + 2 -12 + 8x + 4y = (-4 * 2 + z * 2) + 2 -12 + 8x + 4y = (-8 + 2z) + 2 Reorder the terms: -12 + 8x + 4y = -8 + 2 + 2z Combine like terms: -8 + 2 = -6 -12 + 8x + 4y = -6 + 2z Solving -12 + 8x + 4y = -6 + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8x + 12 + 4y = -6 + 12 + 2z Reorder the terms: -12 + 12 + 8x + 4y = -6 + 12 + 2z Combine like terms: -12 + 12 = 0 0 + 8x + 4y = -6 + 12 + 2z 8x + 4y = -6 + 12 + 2z Combine like terms: -6 + 12 = 6 8x + 4y = 6 + 2z Add '-4y' to each side of the equation. 8x + 4y + -4y = 6 + -4y + 2z Combine like terms: 4y + -4y = 0 8x + 0 = 6 + -4y + 2z 8x = 6 + -4y + 2z Divide each side by '8'. x = 0.75 + -0.5y + 0.25z Simplifying x = 0.75 + -0.5y + 0.25z
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