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Simplifying -4(2x + -6) + 7x = 5x + 24 Reorder the terms: -4(-6 + 2x) + 7x = 5x + 24 (-6 * -4 + 2x * -4) + 7x = 5x + 24 (24 + -8x) + 7x = 5x + 24 Combine like terms: -8x + 7x = -1x 24 + -1x = 5x + 24 Reorder the terms: 24 + -1x = 24 + 5x Add '-24' to each side of the equation. 24 + -24 + -1x = 24 + -24 + 5x Combine like terms: 24 + -24 = 0 0 + -1x = 24 + -24 + 5x -1x = 24 + -24 + 5x Combine like terms: 24 + -24 = 0 -1x = 0 + 5x -1x = 5x Solving -1x = 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. -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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