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Simplifying -2x + 4 = (4x + -3) + -3(-8 + 4x) Reorder the terms: 4 + -2x = (4x + -3) + -3(-8 + 4x) Reorder the terms: 4 + -2x = (-3 + 4x) + -3(-8 + 4x) Remove parenthesis around (-3 + 4x) 4 + -2x = -3 + 4x + -3(-8 + 4x) 4 + -2x = -3 + 4x + (-8 * -3 + 4x * -3) 4 + -2x = -3 + 4x + (24 + -12x) Reorder the terms: 4 + -2x = -3 + 24 + 4x + -12x Combine like terms: -3 + 24 = 21 4 + -2x = 21 + 4x + -12x Combine like terms: 4x + -12x = -8x 4 + -2x = 21 + -8x Solving 4 + -2x = 21 + -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 = 21 + -8x + 8x Combine like terms: -2x + 8x = 6x 4 + 6x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 6x = 21 + 0 4 + 6x = 21 Add '-4' to each side of the equation. 4 + -4 + 6x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 21 + -4 6x = 21 + -4 Combine like terms: 21 + -4 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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