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Simplifying 3x + 7 = 9 + -1(6x + -3) Reorder the terms: 7 + 3x = 9 + -1(6x + -3) Reorder the terms: 7 + 3x = 9 + -1(-3 + 6x) 7 + 3x = 9 + (-3 * -1 + 6x * -1) 7 + 3x = 9 + (3 + -6x) Combine like terms: 9 + 3 = 12 7 + 3x = 12 + -6x Solving 7 + 3x = 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. 7 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 7 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 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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