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Simplifying 7 + 3x + -1 = 9x + 24 + -4x Reorder the terms: 7 + -1 + 3x = 9x + 24 + -4x Combine like terms: 7 + -1 = 6 6 + 3x = 9x + 24 + -4x Reorder the terms: 6 + 3x = 24 + 9x + -4x Combine like terms: 9x + -4x = 5x 6 + 3x = 24 + 5x Solving 6 + 3x = 24 + 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. 6 + 3x + -5x = 24 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = 24 + 0 6 + -2x = 24 Add '-6' to each side of the equation. 6 + -6 + -2x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 24 + -6 -2x = 24 + -6 Combine like terms: 24 + -6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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