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Simplifying (6x + -4) + -5 = (17 + -1x) + -5 Reorder the terms: (-4 + 6x) + -5 = (17 + -1x) + -5 Remove parenthesis around (-4 + 6x) -4 + 6x + -5 = (17 + -1x) + -5 Reorder the terms: -4 + -5 + 6x = (17 + -1x) + -5 Combine like terms: -4 + -5 = -9 -9 + 6x = (17 + -1x) + -5 Remove parenthesis around (17 + -1x) -9 + 6x = 17 + -1x + -5 Reorder the terms: -9 + 6x = 17 + -5 + -1x Combine like terms: 17 + -5 = 12 -9 + 6x = 12 + -1x Solving -9 + 6x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 6x + x = 12 + -1x + x Combine like terms: 6x + x = 7x -9 + 7x = 12 + -1x + x Combine like terms: -1x + x = 0 -9 + 7x = 12 + 0 -9 + 7x = 12 Add '9' to each side of the equation. -9 + 9 + 7x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 12 + 9 7x = 12 + 9 Combine like terms: 12 + 9 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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