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Simplifying 3(x + -1) = 2(x + -1) + 99 Reorder the terms: 3(-1 + x) = 2(x + -1) + 99 (-1 * 3 + x * 3) = 2(x + -1) + 99 (-3 + 3x) = 2(x + -1) + 99 Reorder the terms: -3 + 3x = 2(-1 + x) + 99 -3 + 3x = (-1 * 2 + x * 2) + 99 -3 + 3x = (-2 + 2x) + 99 Reorder the terms: -3 + 3x = -2 + 99 + 2x Combine like terms: -2 + 99 = 97 -3 + 3x = 97 + 2x Solving -3 + 3x = 97 + 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 = 97 + 2x + -2x Combine like terms: 3x + -2x = 1x -3 + 1x = 97 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1x = 97 + 0 -3 + 1x = 97 Add '3' to each side of the equation. -3 + 3 + 1x = 97 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 97 + 3 1x = 97 + 3 Combine like terms: 97 + 3 = 100 1x = 100 Divide each side by '1'. x = 100 Simplifying x = 100
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