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Simplifying (4x + -8) + (3x + -5) = 52 Reorder the terms: (-8 + 4x) + (3x + -5) = 52 Remove parenthesis around (-8 + 4x) -8 + 4x + (3x + -5) = 52 Reorder the terms: -8 + 4x + (-5 + 3x) = 52 Remove parenthesis around (-5 + 3x) -8 + 4x + -5 + 3x = 52 Reorder the terms: -8 + -5 + 4x + 3x = 52 Combine like terms: -8 + -5 = -13 -13 + 4x + 3x = 52 Combine like terms: 4x + 3x = 7x -13 + 7x = 52 Solving -13 + 7x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7x = 52 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 52 + 13 7x = 52 + 13 Combine like terms: 52 + 13 = 65 7x = 65 Divide each side by '7'. x = 9.285714286 Simplifying x = 9.285714286
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