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Simplifying 5(x + -2) + 4 = 4x + 24 Reorder the terms: 5(-2 + x) + 4 = 4x + 24 (-2 * 5 + x * 5) + 4 = 4x + 24 (-10 + 5x) + 4 = 4x + 24 Reorder the terms: -10 + 4 + 5x = 4x + 24 Combine like terms: -10 + 4 = -6 -6 + 5x = 4x + 24 Reorder the terms: -6 + 5x = 24 + 4x Solving -6 + 5x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 24 + 0 -6 + 1x = 24 Add '6' to each side of the equation. -6 + 6 + 1x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 24 + 6 1x = 24 + 6 Combine like terms: 24 + 6 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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