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Simplifying -2x + 4 = 2(4x + -3) + -1(-8 + 4x) Reorder the terms: 4 + -2x = 2(4x + -3) + -1(-8 + 4x) Reorder the terms: 4 + -2x = 2(-3 + 4x) + -1(-8 + 4x) 4 + -2x = (-3 * 2 + 4x * 2) + -1(-8 + 4x) 4 + -2x = (-6 + 8x) + -1(-8 + 4x) 4 + -2x = -6 + 8x + (-8 * -1 + 4x * -1) 4 + -2x = -6 + 8x + (8 + -4x) Reorder the terms: 4 + -2x = -6 + 8 + 8x + -4x Combine like terms: -6 + 8 = 2 4 + -2x = 2 + 8x + -4x Combine like terms: 8x + -4x = 4x 4 + -2x = 2 + 4x Solving 4 + -2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -2x + -4x = 2 + 4x + -4x Combine like terms: -2x + -4x = -6x 4 + -6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -6x = 2 + 0 4 + -6x = 2 Add '-4' to each side of the equation. 4 + -4 + -6x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 2 + -4 -6x = 2 + -4 Combine like terms: 2 + -4 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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