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Simplifying 37 + -2x = 3(2x + 7) Reorder the terms: 37 + -2x = 3(7 + 2x) 37 + -2x = (7 * 3 + 2x * 3) 37 + -2x = (21 + 6x) Solving 37 + -2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 37 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x 37 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 37 + -8x = 21 + 0 37 + -8x = 21 Add '-37' to each side of the equation. 37 + -37 + -8x = 21 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = 21 + -37 -8x = 21 + -37 Combine like terms: 21 + -37 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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