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Simplifying 3x + -9 = 2(x + -5) + 2 Reorder the terms: -9 + 3x = 2(x + -5) + 2 Reorder the terms: -9 + 3x = 2(-5 + x) + 2 -9 + 3x = (-5 * 2 + x * 2) + 2 -9 + 3x = (-10 + 2x) + 2 Reorder the terms: -9 + 3x = -10 + 2 + 2x Combine like terms: -10 + 2 = -8 -9 + 3x = -8 + 2x Solving -9 + 3x = -8 + 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. -9 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -9 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 1x = -8 + 0 -9 + 1x = -8 Add '9' to each side of the equation. -9 + 9 + 1x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -8 + 9 1x = -8 + 9 Combine like terms: -8 + 9 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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