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Simplifying 5x + 4(5x + -3) = 24x Reorder the terms: 5x + 4(-3 + 5x) = 24x 5x + (-3 * 4 + 5x * 4) = 24x 5x + (-12 + 20x) = 24x Reorder the terms: -12 + 5x + 20x = 24x Combine like terms: 5x + 20x = 25x -12 + 25x = 24x Solving -12 + 25x = 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. -12 + 25x + -24x = 24x + -24x Combine like terms: 25x + -24x = 1x -12 + 1x = 24x + -24x Combine like terms: 24x + -24x = 0 -12 + 1x = 0 Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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