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Simplifying 3x + 2(4x + -3) = 6x + -31 Reorder the terms: 3x + 2(-3 + 4x) = 6x + -31 3x + (-3 * 2 + 4x * 2) = 6x + -31 3x + (-6 + 8x) = 6x + -31 Reorder the terms: -6 + 3x + 8x = 6x + -31 Combine like terms: 3x + 8x = 11x -6 + 11x = 6x + -31 Reorder the terms: -6 + 11x = -31 + 6x Solving -6 + 11x = -31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 11x + -6x = -31 + 6x + -6x Combine like terms: 11x + -6x = 5x -6 + 5x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 5x = -31 + 0 -6 + 5x = -31 Add '6' to each side of the equation. -6 + 6 + 5x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -31 + 6 5x = -31 + 6 Combine like terms: -31 + 6 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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