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Simplifying (3x + 2) + 4(x + -3) = 24 Reorder the terms: (2 + 3x) + 4(x + -3) = 24 Remove parenthesis around (2 + 3x) 2 + 3x + 4(x + -3) = 24 Reorder the terms: 2 + 3x + 4(-3 + x) = 24 2 + 3x + (-3 * 4 + x * 4) = 24 2 + 3x + (-12 + 4x) = 24 Reorder the terms: 2 + -12 + 3x + 4x = 24 Combine like terms: 2 + -12 = -10 -10 + 3x + 4x = 24 Combine like terms: 3x + 4x = 7x -10 + 7x = 24 Solving -10 + 7x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 24 + 10 7x = 24 + 10 Combine like terms: 24 + 10 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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