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Simplifying 6x + 2 = -1(x + -37) Reorder the terms: 2 + 6x = -1(x + -37) Reorder the terms: 2 + 6x = -1(-37 + x) 2 + 6x = (-37 * -1 + x * -1) 2 + 6x = (37 + -1x) Solving 2 + 6x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 6x + x = 37 + -1x + x Combine like terms: 6x + x = 7x 2 + 7x = 37 + -1x + x Combine like terms: -1x + x = 0 2 + 7x = 37 + 0 2 + 7x = 37 Add '-2' to each side of the equation. 2 + -2 + 7x = 37 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 37 + -2 7x = 37 + -2 Combine like terms: 37 + -2 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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