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Simplifying -5x + -31(x + 2) = -5(7x + 4) Reorder the terms: -5x + -31(2 + x) = -5(7x + 4) -5x + (2 * -31 + x * -31) = -5(7x + 4) -5x + (-62 + -31x) = -5(7x + 4) Reorder the terms: -62 + -5x + -31x = -5(7x + 4) Combine like terms: -5x + -31x = -36x -62 + -36x = -5(7x + 4) Reorder the terms: -62 + -36x = -5(4 + 7x) -62 + -36x = (4 * -5 + 7x * -5) -62 + -36x = (-20 + -35x) Solving -62 + -36x = -20 + -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. -62 + -36x + 35x = -20 + -35x + 35x Combine like terms: -36x + 35x = -1x -62 + -1x = -20 + -35x + 35x Combine like terms: -35x + 35x = 0 -62 + -1x = -20 + 0 -62 + -1x = -20 Add '62' to each side of the equation. -62 + 62 + -1x = -20 + 62 Combine like terms: -62 + 62 = 0 0 + -1x = -20 + 62 -1x = -20 + 62 Combine like terms: -20 + 62 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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