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Simplifying 1 + 7x = 37 + -1(-3 + 6x) 1 + 7x = 37 + (-3 * -1 + 6x * -1) 1 + 7x = 37 + (3 + -6x) Combine like terms: 37 + 3 = 40 1 + 7x = 40 + -6x Solving 1 + 7x = 40 + -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. 1 + 7x + 6x = 40 + -6x + 6x Combine like terms: 7x + 6x = 13x 1 + 13x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 13x = 40 + 0 1 + 13x = 40 Add '-1' to each side of the equation. 1 + -1 + 13x = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 40 + -1 13x = 40 + -1 Combine like terms: 40 + -1 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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