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Simplifying 3x + -3x + 37 = -3 + 5(x + 6) Reorder the terms: 37 + 3x + -3x = -3 + 5(x + 6) Combine like terms: 3x + -3x = 0 37 + 0 = -3 + 5(x + 6) 37 = -3 + 5(x + 6) Reorder the terms: 37 = -3 + 5(6 + x) 37 = -3 + (6 * 5 + x * 5) 37 = -3 + (30 + 5x) Combine like terms: -3 + 30 = 27 37 = 27 + 5x Solving 37 = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 37 + -5x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -5x = 27 + 0 37 + -5x = 27 Add '-37' to each side of the equation. 37 + -37 + -5x = 27 + -37 Combine like terms: 37 + -37 = 0 0 + -5x = 27 + -37 -5x = 27 + -37 Combine like terms: 27 + -37 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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