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Simplifying 10(x + -1) + 4(x + 4) = 24 Reorder the terms: 10(-1 + x) + 4(x + 4) = 24 (-1 * 10 + x * 10) + 4(x + 4) = 24 (-10 + 10x) + 4(x + 4) = 24 Reorder the terms: -10 + 10x + 4(4 + x) = 24 -10 + 10x + (4 * 4 + x * 4) = 24 -10 + 10x + (16 + 4x) = 24 Reorder the terms: -10 + 16 + 10x + 4x = 24 Combine like terms: -10 + 16 = 6 6 + 10x + 4x = 24 Combine like terms: 10x + 4x = 14x 6 + 14x = 24 Solving 6 + 14x = 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 + 14x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 24 + -6 14x = 24 + -6 Combine like terms: 24 + -6 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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