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Simplifying 3(x + -5) + 4(6x + 2) = 0 Reorder the terms: 3(-5 + x) + 4(6x + 2) = 0 (-5 * 3 + x * 3) + 4(6x + 2) = 0 (-15 + 3x) + 4(6x + 2) = 0 Reorder the terms: -15 + 3x + 4(2 + 6x) = 0 -15 + 3x + (2 * 4 + 6x * 4) = 0 -15 + 3x + (8 + 24x) = 0 Reorder the terms: -15 + 8 + 3x + 24x = 0 Combine like terms: -15 + 8 = -7 -7 + 3x + 24x = 0 Combine like terms: 3x + 24x = 27x -7 + 27x = 0 Solving -7 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 27x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 27x = 0 + 7 27x = 0 + 7 Combine like terms: 0 + 7 = 7 27x = 7 Divide each side by '27'. x = 0.2592592593 Simplifying x = 0.2592592593
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