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Simplifying 2(x + -4) = 17 + -5(4x + 1) Reorder the terms: 2(-4 + x) = 17 + -5(4x + 1) (-4 * 2 + x * 2) = 17 + -5(4x + 1) (-8 + 2x) = 17 + -5(4x + 1) Reorder the terms: -8 + 2x = 17 + -5(1 + 4x) -8 + 2x = 17 + (1 * -5 + 4x * -5) -8 + 2x = 17 + (-5 + -20x) Combine like terms: 17 + -5 = 12 -8 + 2x = 12 + -20x Solving -8 + 2x = 12 + -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. -8 + 2x + 20x = 12 + -20x + 20x Combine like terms: 2x + 20x = 22x -8 + 22x = 12 + -20x + 20x Combine like terms: -20x + 20x = 0 -8 + 22x = 12 + 0 -8 + 22x = 12 Add '8' to each side of the equation. -8 + 8 + 22x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 12 + 8 22x = 12 + 8 Combine like terms: 12 + 8 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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