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Simplifying -2x + 4 = 2(4x + -3) + -4(-8 + 4x) Reorder the terms: 4 + -2x = 2(4x + -3) + -4(-8 + 4x) Reorder the terms: 4 + -2x = 2(-3 + 4x) + -4(-8 + 4x) 4 + -2x = (-3 * 2 + 4x * 2) + -4(-8 + 4x) 4 + -2x = (-6 + 8x) + -4(-8 + 4x) 4 + -2x = -6 + 8x + (-8 * -4 + 4x * -4) 4 + -2x = -6 + 8x + (32 + -16x) Reorder the terms: 4 + -2x = -6 + 32 + 8x + -16x Combine like terms: -6 + 32 = 26 4 + -2x = 26 + 8x + -16x Combine like terms: 8x + -16x = -8x 4 + -2x = 26 + -8x Solving 4 + -2x = 26 + -8x 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 = 26 + -8x + 8x Combine like terms: -2x + 8x = 6x 4 + 6x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 6x = 26 + 0 4 + 6x = 26 Add '-4' to each side of the equation. 4 + -4 + 6x = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 26 + -4 6x = 26 + -4 Combine like terms: 26 + -4 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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