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Simplifying 7 + -5(30 + x) = 212 + -35x 7 + (30 * -5 + x * -5) = 212 + -35x 7 + (-150 + -5x) = 212 + -35x Combine like terms: 7 + -150 = -143 -143 + -5x = 212 + -35x Solving -143 + -5x = 212 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -143 + -5x + 35x = 212 + -35x + 35x Combine like terms: -5x + 35x = 30x -143 + 30x = 212 + -35x + 35x Combine like terms: -35x + 35x = 0 -143 + 30x = 212 + 0 -143 + 30x = 212 Add '143' to each side of the equation. -143 + 143 + 30x = 212 + 143 Combine like terms: -143 + 143 = 0 0 + 30x = 212 + 143 30x = 212 + 143 Combine like terms: 212 + 143 = 355 30x = 355 Divide each side by '30'. x = 11.83333333 Simplifying x = 11.83333333
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