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Simplifying 4 + -1(2x + 8) = 31 + -7x Reorder the terms: 4 + -1(8 + 2x) = 31 + -7x 4 + (8 * -1 + 2x * -1) = 31 + -7x 4 + (-8 + -2x) = 31 + -7x Combine like terms: 4 + -8 = -4 -4 + -2x = 31 + -7x Solving -4 + -2x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + -2x + 7x = 31 + -7x + 7x Combine like terms: -2x + 7x = 5x -4 + 5x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 5x = 31 + 0 -4 + 5x = 31 Add '4' to each side of the equation. -4 + 4 + 5x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 31 + 4 5x = 31 + 4 Combine like terms: 31 + 4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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