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Simplifying 7x + -31 = 2(x + -3) Reorder the terms: -31 + 7x = 2(x + -3) Reorder the terms: -31 + 7x = 2(-3 + x) -31 + 7x = (-3 * 2 + x * 2) -31 + 7x = (-6 + 2x) Solving -31 + 7x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 7x + -2x = -6 + 2x + -2x Combine like terms: 7x + -2x = 5x -31 + 5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 5x = -6 + 0 -31 + 5x = -6 Add '31' to each side of the equation. -31 + 31 + 5x = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = -6 + 31 5x = -6 + 31 Combine like terms: -6 + 31 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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