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Simplifying 3(-12x + 13) = -40(46 + -9x) Reorder the terms: 3(13 + -12x) = -40(46 + -9x) (13 * 3 + -12x * 3) = -40(46 + -9x) (39 + -36x) = -40(46 + -9x) 39 + -36x = (46 * -40 + -9x * -40) 39 + -36x = (-1840 + 360x) Solving 39 + -36x = -1840 + 360x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-360x' to each side of the equation. 39 + -36x + -360x = -1840 + 360x + -360x Combine like terms: -36x + -360x = -396x 39 + -396x = -1840 + 360x + -360x Combine like terms: 360x + -360x = 0 39 + -396x = -1840 + 0 39 + -396x = -1840 Add '-39' to each side of the equation. 39 + -39 + -396x = -1840 + -39 Combine like terms: 39 + -39 = 0 0 + -396x = -1840 + -39 -396x = -1840 + -39 Combine like terms: -1840 + -39 = -1879 -396x = -1879 Divide each side by '-396'. x = 4.744949495 Simplifying x = 4.744949495
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