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Simplifying -3(x + 1) = 2(x + 1) + -75 Reorder the terms: -3(1 + x) = 2(x + 1) + -75 (1 * -3 + x * -3) = 2(x + 1) + -75 (-3 + -3x) = 2(x + 1) + -75 Reorder the terms: -3 + -3x = 2(1 + x) + -75 -3 + -3x = (1 * 2 + x * 2) + -75 -3 + -3x = (2 + 2x) + -75 Reorder the terms: -3 + -3x = 2 + -75 + 2x Combine like terms: 2 + -75 = -73 -3 + -3x = -73 + 2x Solving -3 + -3x = -73 + 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 = -73 + 2x + -2x Combine like terms: -3x + -2x = -5x -3 + -5x = -73 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -5x = -73 + 0 -3 + -5x = -73 Add '3' to each side of the equation. -3 + 3 + -5x = -73 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -73 + 3 -5x = -73 + 3 Combine like terms: -73 + 3 = -70 -5x = -70 Divide each side by '-5'. x = 14 Simplifying x = 14
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