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Simplifying 3(x + -9) = 2x + 19 Reorder the terms: 3(-9 + x) = 2x + 19 (-9 * 3 + x * 3) = 2x + 19 (-27 + 3x) = 2x + 19 Reorder the terms: -27 + 3x = 19 + 2x Solving -27 + 3x = 19 + 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. -27 + 3x + -2x = 19 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x = 19 + 0 -27 + 1x = 19 Add '27' to each side of the equation. -27 + 27 + 1x = 19 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 19 + 27 1x = 19 + 27 Combine like terms: 19 + 27 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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