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Simplifying 4(x + -2) + 4x = 5x + -17 Reorder the terms: 4(-2 + x) + 4x = 5x + -17 (-2 * 4 + x * 4) + 4x = 5x + -17 (-8 + 4x) + 4x = 5x + -17 Combine like terms: 4x + 4x = 8x -8 + 8x = 5x + -17 Reorder the terms: -8 + 8x = -17 + 5x Solving -8 + 8x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 8x + -5x = -17 + 5x + -5x Combine like terms: 8x + -5x = 3x -8 + 3x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 3x = -17 + 0 -8 + 3x = -17 Add '8' to each side of the equation. -8 + 8 + 3x = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -17 + 8 3x = -17 + 8 Combine like terms: -17 + 8 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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