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Simplifying -3x + 4(2x + -6) = -17 + -2x Reorder the terms: -3x + 4(-6 + 2x) = -17 + -2x -3x + (-6 * 4 + 2x * 4) = -17 + -2x -3x + (-24 + 8x) = -17 + -2x Reorder the terms: -24 + -3x + 8x = -17 + -2x Combine like terms: -3x + 8x = 5x -24 + 5x = -17 + -2x Solving -24 + 5x = -17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 5x + 2x = -17 + -2x + 2x Combine like terms: 5x + 2x = 7x -24 + 7x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 7x = -17 + 0 -24 + 7x = -17 Add '24' to each side of the equation. -24 + 24 + 7x = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -17 + 24 7x = -17 + 24 Combine like terms: -17 + 24 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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