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Simplifying 3(x + 2) + 4(x + -3) = 24 Reorder the terms: 3(2 + x) + 4(x + -3) = 24 (2 * 3 + x * 3) + 4(x + -3) = 24 (6 + 3x) + 4(x + -3) = 24 Reorder the terms: 6 + 3x + 4(-3 + x) = 24 6 + 3x + (-3 * 4 + x * 4) = 24 6 + 3x + (-12 + 4x) = 24 Reorder the terms: 6 + -12 + 3x + 4x = 24 Combine like terms: 6 + -12 = -6 -6 + 3x + 4x = 24 Combine like terms: 3x + 4x = 7x -6 + 7x = 24 Solving -6 + 7x = 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 + 7x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 24 + 6 7x = 24 + 6 Combine like terms: 24 + 6 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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