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Simplifying x + -37 + 2x = 36 + 2(x + 1) Reorder the terms: -37 + x + 2x = 36 + 2(x + 1) Combine like terms: x + 2x = 3x -37 + 3x = 36 + 2(x + 1) Reorder the terms: -37 + 3x = 36 + 2(1 + x) -37 + 3x = 36 + (1 * 2 + x * 2) -37 + 3x = 36 + (2 + 2x) Combine like terms: 36 + 2 = 38 -37 + 3x = 38 + 2x Solving -37 + 3x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -37 + 3x + -2x = 38 + 2x + -2x Combine like terms: 3x + -2x = 1x -37 + 1x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -37 + 1x = 38 + 0 -37 + 1x = 38 Add '37' to each side of the equation. -37 + 37 + 1x = 38 + 37 Combine like terms: -37 + 37 = 0 0 + 1x = 38 + 37 1x = 38 + 37 Combine like terms: 38 + 37 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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