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Simplifying 3x + -4(2x + 1) = 17 + 3x + -5 Reorder the terms: 3x + -4(1 + 2x) = 17 + 3x + -5 3x + (1 * -4 + 2x * -4) = 17 + 3x + -5 3x + (-4 + -8x) = 17 + 3x + -5 Reorder the terms: -4 + 3x + -8x = 17 + 3x + -5 Combine like terms: 3x + -8x = -5x -4 + -5x = 17 + 3x + -5 Reorder the terms: -4 + -5x = 17 + -5 + 3x Combine like terms: 17 + -5 = 12 -4 + -5x = 12 + 3x Solving -4 + -5x = 12 + 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. -4 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x -4 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -8x = 12 + 0 -4 + -8x = 12 Add '4' to each side of the equation. -4 + 4 + -8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 12 + 4 -8x = 12 + 4 Combine like terms: 12 + 4 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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