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Simplifying 3x + 4(6x + -4) = 146 Reorder the terms: 3x + 4(-4 + 6x) = 146 3x + (-4 * 4 + 6x * 4) = 146 3x + (-16 + 24x) = 146 Reorder the terms: -16 + 3x + 24x = 146 Combine like terms: 3x + 24x = 27x -16 + 27x = 146 Solving -16 + 27x = 146 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 27x = 146 + 16 Combine like terms: -16 + 16 = 0 0 + 27x = 146 + 16 27x = 146 + 16 Combine like terms: 146 + 16 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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