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Simplifying 15(-42x + -40) = 15(-8x + -244) Reorder the terms: 15(-40 + -42x) = 15(-8x + -244) (-40 * 15 + -42x * 15) = 15(-8x + -244) (-600 + -630x) = 15(-8x + -244) Reorder the terms: -600 + -630x = 15(-244 + -8x) -600 + -630x = (-244 * 15 + -8x * 15) -600 + -630x = (-3660 + -120x) Solving -600 + -630x = -3660 + -120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120x' to each side of the equation. -600 + -630x + 120x = -3660 + -120x + 120x Combine like terms: -630x + 120x = -510x -600 + -510x = -3660 + -120x + 120x Combine like terms: -120x + 120x = 0 -600 + -510x = -3660 + 0 -600 + -510x = -3660 Add '600' to each side of the equation. -600 + 600 + -510x = -3660 + 600 Combine like terms: -600 + 600 = 0 0 + -510x = -3660 + 600 -510x = -3660 + 600 Combine like terms: -3660 + 600 = -3060 -510x = -3060 Divide each side by '-510'. x = 6 Simplifying x = 6
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