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Simplifying 8x + -2(5x + -4) = 3x + -17 Reorder the terms: 8x + -2(-4 + 5x) = 3x + -17 8x + (-4 * -2 + 5x * -2) = 3x + -17 8x + (8 + -10x) = 3x + -17 Reorder the terms: 8 + 8x + -10x = 3x + -17 Combine like terms: 8x + -10x = -2x 8 + -2x = 3x + -17 Reorder the terms: 8 + -2x = -17 + 3x Solving 8 + -2x = -17 + 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. 8 + -2x + -3x = -17 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -17 + 0 8 + -5x = -17 Add '-8' to each side of the equation. 8 + -8 + -5x = -17 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -17 + -8 -5x = -17 + -8 Combine like terms: -17 + -8 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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