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Simplifying 3x + -2(2x + -8) = 4x + 17 Reorder the terms: 3x + -2(-8 + 2x) = 4x + 17 3x + (-8 * -2 + 2x * -2) = 4x + 17 3x + (16 + -4x) = 4x + 17 Reorder the terms: 16 + 3x + -4x = 4x + 17 Combine like terms: 3x + -4x = -1x 16 + -1x = 4x + 17 Reorder the terms: 16 + -1x = 17 + 4x Solving 16 + -1x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -1x + -4x = 17 + 4x + -4x Combine like terms: -1x + -4x = -5x 16 + -5x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -5x = 17 + 0 16 + -5x = 17 Add '-16' to each side of the equation. 16 + -16 + -5x = 17 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 17 + -16 -5x = 17 + -16 Combine like terms: 17 + -16 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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