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Simplifying 2x + -3 + -1(3x + 2) = -76 Reorder the terms: 2x + -3 + -1(2 + 3x) = -76 2x + -3 + (2 * -1 + 3x * -1) = -76 2x + -3 + (-2 + -3x) = -76 Reorder the terms: -3 + -2 + 2x + -3x = -76 Combine like terms: -3 + -2 = -5 -5 + 2x + -3x = -76 Combine like terms: 2x + -3x = -1x -5 + -1x = -76 Solving -5 + -1x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = -76 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -76 + 5 -1x = -76 + 5 Combine like terms: -76 + 5 = -71 -1x = -71 Divide each side by '-1'. x = 71 Simplifying x = 71
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