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Simplifying -2x + 4 = 4(4x + -3) + -3(-8 + 4x) Reorder the terms: 4 + -2x = 4(4x + -3) + -3(-8 + 4x) Reorder the terms: 4 + -2x = 4(-3 + 4x) + -3(-8 + 4x) 4 + -2x = (-3 * 4 + 4x * 4) + -3(-8 + 4x) 4 + -2x = (-12 + 16x) + -3(-8 + 4x) 4 + -2x = -12 + 16x + (-8 * -3 + 4x * -3) 4 + -2x = -12 + 16x + (24 + -12x) Reorder the terms: 4 + -2x = -12 + 24 + 16x + -12x Combine like terms: -12 + 24 = 12 4 + -2x = 12 + 16x + -12x Combine like terms: 16x + -12x = 4x 4 + -2x = 12 + 4x Solving 4 + -2x = 12 + 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 = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x 4 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -6x = 12 + 0 4 + -6x = 12 Add '-4' to each side of the equation. 4 + -4 + -6x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 12 + -4 -6x = 12 + -4 Combine like terms: 12 + -4 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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