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Simplifying 5x + 4 + 7x + -3 = 24x + 1 Reorder the terms: 4 + -3 + 5x + 7x = 24x + 1 Combine like terms: 4 + -3 = 1 1 + 5x + 7x = 24x + 1 Combine like terms: 5x + 7x = 12x 1 + 12x = 24x + 1 Reorder the terms: 1 + 12x = 1 + 24x Add '-1' to each side of the equation. 1 + -1 + 12x = 1 + -1 + 24x Combine like terms: 1 + -1 = 0 0 + 12x = 1 + -1 + 24x 12x = 1 + -1 + 24x Combine like terms: 1 + -1 = 0 12x = 0 + 24x 12x = 24x Solving 12x = 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. 12x + -24x = 24x + -24x Combine like terms: 12x + -24x = -12x -12x = 24x + -24x Combine like terms: 24x + -24x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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