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Simplifying 3(x + -2) + 9 = 6 + 2x + -1 Reorder the terms: 3(-2 + x) + 9 = 6 + 2x + -1 (-2 * 3 + x * 3) + 9 = 6 + 2x + -1 (-6 + 3x) + 9 = 6 + 2x + -1 Reorder the terms: -6 + 9 + 3x = 6 + 2x + -1 Combine like terms: -6 + 9 = 3 3 + 3x = 6 + 2x + -1 Reorder the terms: 3 + 3x = 6 + -1 + 2x Combine like terms: 6 + -1 = 5 3 + 3x = 5 + 2x Solving 3 + 3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 5 + 0 3 + 1x = 5 Add '-3' to each side of the equation. 3 + -3 + 1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 5 + -3 1x = 5 + -3 Combine like terms: 5 + -3 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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