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Simplifying 4x + 10(x + -1) + (x + 4) = 24 Reorder the terms: 4x + 10(-1 + x) + (x + 4) = 24 4x + (-1 * 10 + x * 10) + (x + 4) = 24 4x + (-10 + 10x) + (x + 4) = 24 Reorder the terms: 4x + -10 + 10x + (4 + x) = 24 Remove parenthesis around (4 + x) 4x + -10 + 10x + 4 + x = 24 Reorder the terms: -10 + 4 + 4x + 10x + x = 24 Combine like terms: -10 + 4 = -6 -6 + 4x + 10x + x = 24 Combine like terms: 4x + 10x = 14x -6 + 14x + x = 24 Combine like terms: 14x + x = 15x -6 + 15x = 24 Solving -6 + 15x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 24 + 6 15x = 24 + 6 Combine like terms: 24 + 6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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