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Simplifying 37 + 6x = 7(x + 6) Reorder the terms: 37 + 6x = 7(6 + x) 37 + 6x = (6 * 7 + x * 7) 37 + 6x = (42 + 7x) Solving 37 + 6x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 37 + 6x + -7x = 42 + 7x + -7x Combine like terms: 6x + -7x = -1x 37 + -1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 37 + -1x = 42 + 0 37 + -1x = 42 Add '-37' to each side of the equation. 37 + -37 + -1x = 42 + -37 Combine like terms: 37 + -37 = 0 0 + -1x = 42 + -37 -1x = 42 + -37 Combine like terms: 42 + -37 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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