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Simplifying 4(x + -6) + -7x = -5x + -24 Reorder the terms: 4(-6 + x) + -7x = -5x + -24 (-6 * 4 + x * 4) + -7x = -5x + -24 (-24 + 4x) + -7x = -5x + -24 Combine like terms: 4x + -7x = -3x -24 + -3x = -5x + -24 Reorder the terms: -24 + -3x = -24 + -5x Add '24' to each side of the equation. -24 + 24 + -3x = -24 + 24 + -5x Combine like terms: -24 + 24 = 0 0 + -3x = -24 + 24 + -5x -3x = -24 + 24 + -5x Combine like terms: -24 + 24 = 0 -3x = 0 + -5x -3x = -5x Solving -3x = -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. -3x + 5x = -5x + 5x Combine like terms: -3x + 5x = 2x 2x = -5x + 5x Combine like terms: -5x + 5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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