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Simplifying 5 = (4x + 17) + -8(2 + -2x) Reorder the terms: 5 = (17 + 4x) + -8(2 + -2x) Remove parenthesis around (17 + 4x) 5 = 17 + 4x + -8(2 + -2x) 5 = 17 + 4x + (2 * -8 + -2x * -8) 5 = 17 + 4x + (-16 + 16x) Reorder the terms: 5 = 17 + -16 + 4x + 16x Combine like terms: 17 + -16 = 1 5 = 1 + 4x + 16x Combine like terms: 4x + 16x = 20x 5 = 1 + 20x Solving 5 = 1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + -20x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -20x = 1 + 0 5 + -20x = 1 Add '-5' to each side of the equation. 5 + -5 + -20x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -20x = 1 + -5 -20x = 1 + -5 Combine like terms: 1 + -5 = -4 -20x = -4 Divide each side by '-20'. x = 0.2 Simplifying x = 0.2
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