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Simplifying 7x + -5 + 6 + -15x = 24x + 40 + -39 Reorder the terms: -5 + 6 + 7x + -15x = 24x + 40 + -39 Combine like terms: -5 + 6 = 1 1 + 7x + -15x = 24x + 40 + -39 Combine like terms: 7x + -15x = -8x 1 + -8x = 24x + 40 + -39 Reorder the terms: 1 + -8x = 40 + -39 + 24x Combine like terms: 40 + -39 = 1 1 + -8x = 1 + 24x Add '-1' to each side of the equation. 1 + -1 + -8x = 1 + -1 + 24x Combine like terms: 1 + -1 = 0 0 + -8x = 1 + -1 + 24x -8x = 1 + -1 + 24x Combine like terms: 1 + -1 = 0 -8x = 0 + 24x -8x = 24x Solving -8x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -8x + -24x = 24x + -24x Combine like terms: -8x + -24x = -32x -32x = 24x + -24x Combine like terms: 24x + -24x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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