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Simplifying -8(2x + 1) + 3x = 31 Reorder the terms: -8(1 + 2x) + 3x = 31 (1 * -8 + 2x * -8) + 3x = 31 (-8 + -16x) + 3x = 31 Combine like terms: -16x + 3x = -13x -8 + -13x = 31 Solving -8 + -13x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -13x = 31 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = 31 + 8 -13x = 31 + 8 Combine like terms: 31 + 8 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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