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Simplifying 30(x + -2) + -5(4 + -1x) = 40(x + -7) + 194 Reorder the terms: 30(-2 + x) + -5(4 + -1x) = 40(x + -7) + 194 (-2 * 30 + x * 30) + -5(4 + -1x) = 40(x + -7) + 194 (-60 + 30x) + -5(4 + -1x) = 40(x + -7) + 194 -60 + 30x + (4 * -5 + -1x * -5) = 40(x + -7) + 194 -60 + 30x + (-20 + 5x) = 40(x + -7) + 194 Reorder the terms: -60 + -20 + 30x + 5x = 40(x + -7) + 194 Combine like terms: -60 + -20 = -80 -80 + 30x + 5x = 40(x + -7) + 194 Combine like terms: 30x + 5x = 35x -80 + 35x = 40(x + -7) + 194 Reorder the terms: -80 + 35x = 40(-7 + x) + 194 -80 + 35x = (-7 * 40 + x * 40) + 194 -80 + 35x = (-280 + 40x) + 194 Reorder the terms: -80 + 35x = -280 + 194 + 40x Combine like terms: -280 + 194 = -86 -80 + 35x = -86 + 40x Solving -80 + 35x = -86 + 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. -80 + 35x + -40x = -86 + 40x + -40x Combine like terms: 35x + -40x = -5x -80 + -5x = -86 + 40x + -40x Combine like terms: 40x + -40x = 0 -80 + -5x = -86 + 0 -80 + -5x = -86 Add '80' to each side of the equation. -80 + 80 + -5x = -86 + 80 Combine like terms: -80 + 80 = 0 0 + -5x = -86 + 80 -5x = -86 + 80 Combine like terms: -86 + 80 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2
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