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Simplifying 5x + -3(4s + -12) = 2(s + -30) Reorder the terms: 5x + -3(-12 + 4s) = 2(s + -30) 5x + (-12 * -3 + 4s * -3) = 2(s + -30) 5x + (36 + -12s) = 2(s + -30) Reorder the terms: 36 + -12s + 5x = 2(s + -30) Reorder the terms: 36 + -12s + 5x = 2(-30 + s) 36 + -12s + 5x = (-30 * 2 + s * 2) 36 + -12s + 5x = (-60 + 2s) Solving 36 + -12s + 5x = -60 + 2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2s' to each side of the equation. 36 + -12s + -2s + 5x = -60 + 2s + -2s Combine like terms: -12s + -2s = -14s 36 + -14s + 5x = -60 + 2s + -2s Combine like terms: 2s + -2s = 0 36 + -14s + 5x = -60 + 0 36 + -14s + 5x = -60 Add '-36' to each side of the equation. 36 + -14s + -36 + 5x = -60 + -36 Reorder the terms: 36 + -36 + -14s + 5x = -60 + -36 Combine like terms: 36 + -36 = 0 0 + -14s + 5x = -60 + -36 -14s + 5x = -60 + -36 Combine like terms: -60 + -36 = -96 -14s + 5x = -96 Add '-5x' to each side of the equation. -14s + 5x + -5x = -96 + -5x Combine like terms: 5x + -5x = 0 -14s + 0 = -96 + -5x -14s = -96 + -5x Divide each side by '-14'. s = 6.857142857 + 0.3571428571x Simplifying s = 6.857142857 + 0.3571428571x
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