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Simplifying 4x + 2(3x + -4) = 102 Reorder the terms: 4x + 2(-4 + 3x) = 102 4x + (-4 * 2 + 3x * 2) = 102 4x + (-8 + 6x) = 102 Reorder the terms: -8 + 4x + 6x = 102 Combine like terms: 4x + 6x = 10x -8 + 10x = 102 Solving -8 + 10x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 10x = 102 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 102 + 8 10x = 102 + 8 Combine like terms: 102 + 8 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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