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Simplifying x + (x + 19) + (2x + -12) = 511 Reorder the terms: x + (19 + x) + (2x + -12) = 511 Remove parenthesis around (19 + x) x + 19 + x + (2x + -12) = 511 Reorder the terms: x + 19 + x + (-12 + 2x) = 511 Remove parenthesis around (-12 + 2x) x + 19 + x + -12 + 2x = 511 Reorder the terms: 19 + -12 + x + x + 2x = 511 Combine like terms: 19 + -12 = 7 7 + x + x + 2x = 511 Combine like terms: x + x = 2x 7 + 2x + 2x = 511 Combine like terms: 2x + 2x = 4x 7 + 4x = 511 Solving 7 + 4x = 511 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 511 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 511 + -7 4x = 511 + -7 Combine like terms: 511 + -7 = 504 4x = 504 Divide each side by '4'. x = 126 Simplifying x = 126
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