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Simplifying -2(x + 3) + -3(2 + -1x) = 19 + 23 Reorder the terms: -2(3 + x) + -3(2 + -1x) = 19 + 23 (3 * -2 + x * -2) + -3(2 + -1x) = 19 + 23 (-6 + -2x) + -3(2 + -1x) = 19 + 23 -6 + -2x + (2 * -3 + -1x * -3) = 19 + 23 -6 + -2x + (-6 + 3x) = 19 + 23 Reorder the terms: -6 + -6 + -2x + 3x = 19 + 23 Combine like terms: -6 + -6 = -12 -12 + -2x + 3x = 19 + 23 Combine like terms: -2x + 3x = 1x -12 + 1x = 19 + 23 Combine like terms: 19 + 23 = 42 -12 + 1x = 42 Solving -12 + 1x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 42 + 12 1x = 42 + 12 Combine like terms: 42 + 12 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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