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Simplifying 4(3x + -5) = -2(46 + 3x) Reorder the terms: 4(-5 + 3x) = -2(46 + 3x) (-5 * 4 + 3x * 4) = -2(46 + 3x) (-20 + 12x) = -2(46 + 3x) -20 + 12x = (46 * -2 + 3x * -2) -20 + 12x = (-92 + -6x) Solving -20 + 12x = -92 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + 12x + 6x = -92 + -6x + 6x Combine like terms: 12x + 6x = 18x -20 + 18x = -92 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 18x = -92 + 0 -20 + 18x = -92 Add '20' to each side of the equation. -20 + 20 + 18x = -92 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = -92 + 20 18x = -92 + 20 Combine like terms: -92 + 20 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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