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Simplifying 2x + 31 = 3(x + -2) Reorder the terms: 31 + 2x = 3(x + -2) Reorder the terms: 31 + 2x = 3(-2 + x) 31 + 2x = (-2 * 3 + x * 3) 31 + 2x = (-6 + 3x) Solving 31 + 2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 31 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 31 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + -1x = -6 + 0 31 + -1x = -6 Add '-31' to each side of the equation. 31 + -31 + -1x = -6 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -6 + -31 -1x = -6 + -31 Combine like terms: -6 + -31 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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