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