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Simplifying 7(x + -6) + 17 = 6x + -5 Reorder the terms: 7(-6 + x) + 17 = 6x + -5 (-6 * 7 + x * 7) + 17 = 6x + -5 (-42 + 7x) + 17 = 6x + -5 Reorder the terms: -42 + 17 + 7x = 6x + -5 Combine like terms: -42 + 17 = -25 -25 + 7x = 6x + -5 Reorder the terms: -25 + 7x = -5 + 6x Solving -25 + 7x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -25 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 1x = -5 + 0 -25 + 1x = -5 Add '25' to each side of the equation. -25 + 25 + 1x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -5 + 25 1x = -5 + 25 Combine like terms: -5 + 25 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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