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Simplifying -2x + 37 + -3x = 2(x + 8) Reorder the terms: 37 + -2x + -3x = 2(x + 8) Combine like terms: -2x + -3x = -5x 37 + -5x = 2(x + 8) Reorder the terms: 37 + -5x = 2(8 + x) 37 + -5x = (8 * 2 + x * 2) 37 + -5x = (16 + 2x) Solving 37 + -5x = 16 + 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 + -5x + -2x = 16 + 2x + -2x Combine like terms: -5x + -2x = -7x 37 + -7x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + -7x = 16 + 0 37 + -7x = 16 Add '-37' to each side of the equation. 37 + -37 + -7x = 16 + -37 Combine like terms: 37 + -37 = 0 0 + -7x = 16 + -37 -7x = 16 + -37 Combine like terms: 16 + -37 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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