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Simplifying 3x + -6(x + 38) = 40(x + 6) Reorder the terms: 3x + -6(38 + x) = 40(x + 6) 3x + (38 * -6 + x * -6) = 40(x + 6) 3x + (-228 + -6x) = 40(x + 6) Reorder the terms: -228 + 3x + -6x = 40(x + 6) Combine like terms: 3x + -6x = -3x -228 + -3x = 40(x + 6) Reorder the terms: -228 + -3x = 40(6 + x) -228 + -3x = (6 * 40 + x * 40) -228 + -3x = (240 + 40x) Solving -228 + -3x = 240 + 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. -228 + -3x + -40x = 240 + 40x + -40x Combine like terms: -3x + -40x = -43x -228 + -43x = 240 + 40x + -40x Combine like terms: 40x + -40x = 0 -228 + -43x = 240 + 0 -228 + -43x = 240 Add '228' to each side of the equation. -228 + 228 + -43x = 240 + 228 Combine like terms: -228 + 228 = 0 0 + -43x = 240 + 228 -43x = 240 + 228 Combine like terms: 240 + 228 = 468 -43x = 468 Divide each side by '-43'. x = -10.88372093 Simplifying x = -10.88372093
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