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Simplifying (4x + -2) + (4x + -2) + (x + 3) + (x + 3) = 52 Reorder the terms: (-2 + 4x) + (4x + -2) + (x + 3) + (x + 3) = 52 Remove parenthesis around (-2 + 4x) -2 + 4x + (4x + -2) + (x + 3) + (x + 3) = 52 Reorder the terms: -2 + 4x + (-2 + 4x) + (x + 3) + (x + 3) = 52 Remove parenthesis around (-2 + 4x) -2 + 4x + -2 + 4x + (x + 3) + (x + 3) = 52 Reorder the terms: -2 + 4x + -2 + 4x + (3 + x) + (x + 3) = 52 Remove parenthesis around (3 + x) -2 + 4x + -2 + 4x + 3 + x + (x + 3) = 52 Reorder the terms: -2 + 4x + -2 + 4x + 3 + x + (3 + x) = 52 Remove parenthesis around (3 + x) -2 + 4x + -2 + 4x + 3 + x + 3 + x = 52 Reorder the terms: -2 + -2 + 3 + 3 + 4x + 4x + x + x = 52 Combine like terms: -2 + -2 = -4 -4 + 3 + 3 + 4x + 4x + x + x = 52 Combine like terms: -4 + 3 = -1 -1 + 3 + 4x + 4x + x + x = 52 Combine like terms: -1 + 3 = 2 2 + 4x + 4x + x + x = 52 Combine like terms: 4x + 4x = 8x 2 + 8x + x + x = 52 Combine like terms: 8x + x = 9x 2 + 9x + x = 52 Combine like terms: 9x + x = 10x 2 + 10x = 52 Solving 2 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 52 + -2 10x = 52 + -2 Combine like terms: 52 + -2 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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