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Simplifying -6(3x + 1) + 5x = 46 Reorder the terms: -6(1 + 3x) + 5x = 46 (1 * -6 + 3x * -6) + 5x = 46 (-6 + -18x) + 5x = 46 Combine like terms: -18x + 5x = -13x -6 + -13x = 46 Solving -6 + -13x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -13x = 46 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = 46 + 6 -13x = 46 + 6 Combine like terms: 46 + 6 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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