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Simplifying -6x + 17 + -1x = -5x + 18 + 3 Reorder the terms: 17 + -6x + -1x = -5x + 18 + 3 Combine like terms: -6x + -1x = -7x 17 + -7x = -5x + 18 + 3 Reorder the terms: 17 + -7x = 18 + 3 + -5x Combine like terms: 18 + 3 = 21 17 + -7x = 21 + -5x Solving 17 + -7x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + -7x + 5x = 21 + -5x + 5x Combine like terms: -7x + 5x = -2x 17 + -2x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -2x = 21 + 0 17 + -2x = 21 Add '-17' to each side of the equation. 17 + -17 + -2x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 21 + -17 -2x = 21 + -17 Combine like terms: 21 + -17 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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