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Simplifying 6x + 7 = 6 + -1(3x + -6) Reorder the terms: 7 + 6x = 6 + -1(3x + -6) Reorder the terms: 7 + 6x = 6 + -1(-6 + 3x) 7 + 6x = 6 + (-6 * -1 + 3x * -1) 7 + 6x = 6 + (6 + -3x) Combine like terms: 6 + 6 = 12 7 + 6x = 12 + -3x Solving 7 + 6x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x 7 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 9x = 12 + 0 7 + 9x = 12 Add '-7' to each side of the equation. 7 + -7 + 9x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 12 + -7 9x = 12 + -7 Combine like terms: 12 + -7 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556
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