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Simplifying 5x + 37 + -3x = 4x + -217 + -1x Reorder the terms: 37 + 5x + -3x = 4x + -217 + -1x Combine like terms: 5x + -3x = 2x 37 + 2x = 4x + -217 + -1x Reorder the terms: 37 + 2x = -217 + 4x + -1x Combine like terms: 4x + -1x = 3x 37 + 2x = -217 + 3x Solving 37 + 2x = -217 + 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. 37 + 2x + -3x = -217 + 3x + -3x Combine like terms: 2x + -3x = -1x 37 + -1x = -217 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + -1x = -217 + 0 37 + -1x = -217 Add '-37' to each side of the equation. 37 + -37 + -1x = -217 + -37 Combine like terms: 37 + -37 = 0 0 + -1x = -217 + -37 -1x = -217 + -37 Combine like terms: -217 + -37 = -254 -1x = -254 Divide each side by '-1'. x = 254 Simplifying x = 254
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