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Simplifying 3x + 31 = 4(2x + -4) + -8 Reorder the terms: 31 + 3x = 4(2x + -4) + -8 Reorder the terms: 31 + 3x = 4(-4 + 2x) + -8 31 + 3x = (-4 * 4 + 2x * 4) + -8 31 + 3x = (-16 + 8x) + -8 Reorder the terms: 31 + 3x = -16 + -8 + 8x Combine like terms: -16 + -8 = -24 31 + 3x = -24 + 8x Solving 31 + 3x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 3x + -8x = -24 + 8x + -8x Combine like terms: 3x + -8x = -5x 31 + -5x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -5x = -24 + 0 31 + -5x = -24 Add '-31' to each side of the equation. 31 + -31 + -5x = -24 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = -24 + -31 -5x = -24 + -31 Combine like terms: -24 + -31 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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