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Simplifying 5x + -1(6 + 3x) = 17 + -2x 5x + (6 * -1 + 3x * -1) = 17 + -2x 5x + (-6 + -3x) = 17 + -2x Reorder the terms: -6 + 5x + -3x = 17 + -2x Combine like terms: 5x + -3x = 2x -6 + 2x = 17 + -2x Solving -6 + 2x = 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. -6 + 2x + 2x = 17 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = 17 + 0 -6 + 4x = 17 Add '6' to each side of the equation. -6 + 6 + 4x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 17 + 6 4x = 17 + 6 Combine like terms: 17 + 6 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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