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Simplifying X + (x + 2) + 4(x + 2) = 52 Reorder the terms: X + (2 + x) + 4(x + 2) = 52 Remove parenthesis around (2 + x) X + 2 + x + 4(x + 2) = 52 Reorder the terms: X + 2 + x + 4(2 + x) = 52 X + 2 + x + (2 * 4 + x * 4) = 52 X + 2 + x + (8 + 4x) = 52 Reorder the terms: 2 + 8 + X + x + 4x = 52 Combine like terms: 2 + 8 = 10 10 + X + x + 4x = 52 Combine like terms: x + 4x = 5x 10 + X + 5x = 52 Solving 10 + X + 5x = 52 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 + X + -10 + 5x = 52 + -10 Reorder the terms: 10 + -10 + X + 5x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + X + 5x = 52 + -10 X + 5x = 52 + -10 Combine like terms: 52 + -10 = 42 X + 5x = 42 Add '-5x' to each side of the equation. X + 5x + -5x = 42 + -5x Combine like terms: 5x + -5x = 0 X + 0 = 42 + -5x X = 42 + -5x Simplifying X = 42 + -5x
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