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Simplifying x + -7 + 3(x + 6) = 2x + (x + 41) Reorder the terms: x + -7 + 3(6 + x) = 2x + (x + 41) x + -7 + (6 * 3 + x * 3) = 2x + (x + 41) x + -7 + (18 + 3x) = 2x + (x + 41) Reorder the terms: -7 + 18 + x + 3x = 2x + (x + 41) Combine like terms: -7 + 18 = 11 11 + x + 3x = 2x + (x + 41) Combine like terms: x + 3x = 4x 11 + 4x = 2x + (x + 41) Reorder the terms: 11 + 4x = 2x + (41 + x) Remove parenthesis around (41 + x) 11 + 4x = 2x + 41 + x Reorder the terms: 11 + 4x = 41 + 2x + x Combine like terms: 2x + x = 3x 11 + 4x = 41 + 3x Solving 11 + 4x = 41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 4x + -3x = 41 + 3x + -3x Combine like terms: 4x + -3x = 1x 11 + 1x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 1x = 41 + 0 11 + 1x = 41 Add '-11' to each side of the equation. 11 + -11 + 1x = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 41 + -11 1x = 41 + -11 Combine like terms: 41 + -11 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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