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Simplifying -2x + 4 = 2(4x + -3) + -3(-8 + 4z) Reorder the terms: 4 + -2x = 2(4x + -3) + -3(-8 + 4z) Reorder the terms: 4 + -2x = 2(-3 + 4x) + -3(-8 + 4z) 4 + -2x = (-3 * 2 + 4x * 2) + -3(-8 + 4z) 4 + -2x = (-6 + 8x) + -3(-8 + 4z) 4 + -2x = -6 + 8x + (-8 * -3 + 4z * -3) 4 + -2x = -6 + 8x + (24 + -12z) Reorder the terms: 4 + -2x = -6 + 24 + 8x + -12z Combine like terms: -6 + 24 = 18 4 + -2x = 18 + 8x + -12z Solving 4 + -2x = 18 + 8x + -12z 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. 4 + -2x + -8x = 18 + 8x + -8x + -12z Combine like terms: -2x + -8x = -10x 4 + -10x = 18 + 8x + -8x + -12z Combine like terms: 8x + -8x = 0 4 + -10x = 18 + 0 + -12z 4 + -10x = 18 + -12z Add '-4' to each side of the equation. 4 + -4 + -10x = 18 + -4 + -12z Combine like terms: 4 + -4 = 0 0 + -10x = 18 + -4 + -12z -10x = 18 + -4 + -12z Combine like terms: 18 + -4 = 14 -10x = 14 + -12z Divide each side by '-10'. x = -1.4 + 1.2z Simplifying x = -1.4 + 1.2z
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