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Simplifying -7x + -17 = 4x + 3(6 + 8x) Reorder the terms: -17 + -7x = 4x + 3(6 + 8x) -17 + -7x = 4x + (6 * 3 + 8x * 3) -17 + -7x = 4x + (18 + 24x) Reorder the terms: -17 + -7x = 18 + 4x + 24x Combine like terms: 4x + 24x = 28x -17 + -7x = 18 + 28x Solving -17 + -7x = 18 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -17 + -7x + -28x = 18 + 28x + -28x Combine like terms: -7x + -28x = -35x -17 + -35x = 18 + 28x + -28x Combine like terms: 28x + -28x = 0 -17 + -35x = 18 + 0 -17 + -35x = 18 Add '17' to each side of the equation. -17 + 17 + -35x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + -35x = 18 + 17 -35x = 18 + 17 Combine like terms: 18 + 17 = 35 -35x = 35 Divide each side by '-35'. x = -1 Simplifying x = -1
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