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Simplifying -4(x + -6) = -5x + 17 Reorder the terms: -4(-6 + x) = -5x + 17 (-6 * -4 + x * -4) = -5x + 17 (24 + -4x) = -5x + 17 Reorder the terms: 24 + -4x = 17 + -5x Solving 24 + -4x = 17 + -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. 24 + -4x + 5x = 17 + -5x + 5x Combine like terms: -4x + 5x = 1x 24 + 1x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 1x = 17 + 0 24 + 1x = 17 Add '-24' to each side of the equation. 24 + -24 + 1x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 17 + -24 1x = 17 + -24 Combine like terms: 17 + -24 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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