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Simplifying -4x + 2 = 4(2x + 3) + -3(-8 + 4x) Reorder the terms: 2 + -4x = 4(2x + 3) + -3(-8 + 4x) Reorder the terms: 2 + -4x = 4(3 + 2x) + -3(-8 + 4x) 2 + -4x = (3 * 4 + 2x * 4) + -3(-8 + 4x) 2 + -4x = (12 + 8x) + -3(-8 + 4x) 2 + -4x = 12 + 8x + (-8 * -3 + 4x * -3) 2 + -4x = 12 + 8x + (24 + -12x) Reorder the terms: 2 + -4x = 12 + 24 + 8x + -12x Combine like terms: 12 + 24 = 36 2 + -4x = 36 + 8x + -12x Combine like terms: 8x + -12x = -4x 2 + -4x = 36 + -4x Add '4x' to each side of the equation. 2 + -4x + 4x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 0 = 36 + -4x + 4x 2 = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 2 = 36 + 0 2 = 36 Solving 2 = 36 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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