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Simplifying 7x + 3 = 6 + -1(6x + -6) Reorder the terms: 3 + 7x = 6 + -1(6x + -6) Reorder the terms: 3 + 7x = 6 + -1(-6 + 6x) 3 + 7x = 6 + (-6 * -1 + 6x * -1) 3 + 7x = 6 + (6 + -6x) Combine like terms: 6 + 6 = 12 3 + 7x = 12 + -6x Solving 3 + 7x = 12 + -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. 3 + 7x + 6x = 12 + -6x + 6x Combine like terms: 7x + 6x = 13x 3 + 13x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 13x = 12 + 0 3 + 13x = 12 Add '-3' to each side of the equation. 3 + -3 + 13x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 12 + -3 13x = 12 + -3 Combine like terms: 12 + -3 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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