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Simplifying 6x + 7 = 6 + -1(3x + -3) Reorder the terms: 7 + 6x = 6 + -1(3x + -3) Reorder the terms: 7 + 6x = 6 + -1(-3 + 3x) 7 + 6x = 6 + (-3 * -1 + 3x * -1) 7 + 6x = 6 + (3 + -3x) Combine like terms: 6 + 3 = 9 7 + 6x = 9 + -3x Solving 7 + 6x = 9 + -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 = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x 7 + 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 9x = 9 + 0 7 + 9x = 9 Add '-7' to each side of the equation. 7 + -7 + 9x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 9 + -7 9x = 9 + -7 Combine like terms: 9 + -7 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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