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Simplifying (-42x + 40) = 15(-8x + 244) Reorder the terms: (40 + -42x) = 15(-8x + 244) Remove parenthesis around (40 + -42x) 40 + -42x = 15(-8x + 244) Reorder the terms: 40 + -42x = 15(244 + -8x) 40 + -42x = (244 * 15 + -8x * 15) 40 + -42x = (3660 + -120x) Solving 40 + -42x = 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. 40 + -42x + 120x = 3660 + -120x + 120x Combine like terms: -42x + 120x = 78x 40 + 78x = 3660 + -120x + 120x Combine like terms: -120x + 120x = 0 40 + 78x = 3660 + 0 40 + 78x = 3660 Add '-40' to each side of the equation. 40 + -40 + 78x = 3660 + -40 Combine like terms: 40 + -40 = 0 0 + 78x = 3660 + -40 78x = 3660 + -40 Combine like terms: 3660 + -40 = 3620 78x = 3620 Divide each side by '78'. x = 46.41025641 Simplifying x = 46.41025641
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