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Simplifying 15(-42x + 40) = 5(-8x + 244) Reorder the terms: 15(40 + -42x) = 5(-8x + 244) (40 * 15 + -42x * 15) = 5(-8x + 244) (600 + -630x) = 5(-8x + 244) Reorder the terms: 600 + -630x = 5(244 + -8x) 600 + -630x = (244 * 5 + -8x * 5) 600 + -630x = (1220 + -40x) Solving 600 + -630x = 1220 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 600 + -630x + 40x = 1220 + -40x + 40x Combine like terms: -630x + 40x = -590x 600 + -590x = 1220 + -40x + 40x Combine like terms: -40x + 40x = 0 600 + -590x = 1220 + 0 600 + -590x = 1220 Add '-600' to each side of the equation. 600 + -600 + -590x = 1220 + -600 Combine like terms: 600 + -600 = 0 0 + -590x = 1220 + -600 -590x = 1220 + -600 Combine like terms: 1220 + -600 = 620 -590x = 620 Divide each side by '-590'. x = -1.050847458 Simplifying x = -1.050847458
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