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Simplifying 3x + 2(x + -4) = 8x + -17 Reorder the terms: 3x + 2(-4 + x) = 8x + -17 3x + (-4 * 2 + x * 2) = 8x + -17 3x + (-8 + 2x) = 8x + -17 Reorder the terms: -8 + 3x + 2x = 8x + -17 Combine like terms: 3x + 2x = 5x -8 + 5x = 8x + -17 Reorder the terms: -8 + 5x = -17 + 8x Solving -8 + 5x = -17 + 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. -8 + 5x + -8x = -17 + 8x + -8x Combine like terms: 5x + -8x = -3x -8 + -3x = -17 + 8x + -8x Combine like terms: 8x + -8x = 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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