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Simplifying 3x + 9 = 3 + -1(x + -2) Reorder the terms: 9 + 3x = 3 + -1(x + -2) Reorder the terms: 9 + 3x = 3 + -1(-2 + x) 9 + 3x = 3 + (-2 * -1 + x * -1) 9 + 3x = 3 + (2 + -1x) Combine like terms: 3 + 2 = 5 9 + 3x = 5 + -1x Solving 9 + 3x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = 5 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = 5 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = 5 + 0 9 + 4x = 5 Add '-9' to each side of the equation. 9 + -9 + 4x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 5 + -9 4x = 5 + -9 Combine like terms: 5 + -9 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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