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Simplifying 5(2x + -1) + -4x = 17 + 2x Reorder the terms: 5(-1 + 2x) + -4x = 17 + 2x (-1 * 5 + 2x * 5) + -4x = 17 + 2x (-5 + 10x) + -4x = 17 + 2x Combine like terms: 10x + -4x = 6x -5 + 6x = 17 + 2x Solving -5 + 6x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 6x + -2x = 17 + 2x + -2x Combine like terms: 6x + -2x = 4x -5 + 4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 4x = 17 + 0 -5 + 4x = 17 Add '5' to each side of the equation. -5 + 5 + 4x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 17 + 5 4x = 17 + 5 Combine like terms: 17 + 5 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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