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Simplifying [4x + -17] = [6x + 17] Reorder the terms: [-17 + 4x] = [6x + 17] Remove brackets around [-17 + 4x] -17 + 4x = [6x + 17] Reorder the terms: -17 + 4x = [17 + 6x] Remove brackets around [17 + 6x] -17 + 4x = 17 + 6x Solving -17 + 4x = 17 + 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. -17 + 4x + -6x = 17 + 6x + -6x Combine like terms: 4x + -6x = -2x -17 + -2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -2x = 17 + 0 -17 + -2x = 17 Add '17' to each side of the equation. -17 + 17 + -2x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 17 + 17 -2x = 17 + 17 Combine like terms: 17 + 17 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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