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Simplifying -31 + 6x = 3x + 8(1 + 2x) -31 + 6x = 3x + (1 * 8 + 2x * 8) -31 + 6x = 3x + (8 + 16x) Reorder the terms: -31 + 6x = 8 + 3x + 16x Combine like terms: 3x + 16x = 19x -31 + 6x = 8 + 19x Solving -31 + 6x = 8 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -31 + 6x + -19x = 8 + 19x + -19x Combine like terms: 6x + -19x = -13x -31 + -13x = 8 + 19x + -19x Combine like terms: 19x + -19x = 0 -31 + -13x = 8 + 0 -31 + -13x = 8 Add '31' to each side of the equation. -31 + 31 + -13x = 8 + 31 Combine like terms: -31 + 31 = 0 0 + -13x = 8 + 31 -13x = 8 + 31 Combine like terms: 8 + 31 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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