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Simplifying -2x + 4 = 2(4x + -3) + -3(8 + 4x) Reorder the terms: 4 + -2x = 2(4x + -3) + -3(8 + 4x) Reorder the terms: 4 + -2x = 2(-3 + 4x) + -3(8 + 4x) 4 + -2x = (-3 * 2 + 4x * 2) + -3(8 + 4x) 4 + -2x = (-6 + 8x) + -3(8 + 4x) 4 + -2x = -6 + 8x + (8 * -3 + 4x * -3) 4 + -2x = -6 + 8x + (-24 + -12x) Reorder the terms: 4 + -2x = -6 + -24 + 8x + -12x Combine like terms: -6 + -24 = -30 4 + -2x = -30 + 8x + -12x Combine like terms: 8x + -12x = -4x 4 + -2x = -30 + -4x Solving 4 + -2x = -30 + -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 = -30 + -4x + 4x Combine like terms: -2x + 4x = 2x 4 + 2x = -30 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 2x = -30 + 0 4 + 2x = -30 Add '-4' to each side of the equation. 4 + -4 + 2x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -30 + -4 2x = -30 + -4 Combine like terms: -30 + -4 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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