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Simplifying 3(x + -2) + 3(x + 1) = 84 Reorder the terms: 3(-2 + x) + 3(x + 1) = 84 (-2 * 3 + x * 3) + 3(x + 1) = 84 (-6 + 3x) + 3(x + 1) = 84 Reorder the terms: -6 + 3x + 3(1 + x) = 84 -6 + 3x + (1 * 3 + x * 3) = 84 -6 + 3x + (3 + 3x) = 84 Reorder the terms: -6 + 3 + 3x + 3x = 84 Combine like terms: -6 + 3 = -3 -3 + 3x + 3x = 84 Combine like terms: 3x + 3x = 6x -3 + 6x = 84 Solving -3 + 6x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 84 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 84 + 3 6x = 84 + 3 Combine like terms: 84 + 3 = 87 6x = 87 Divide each side by '6'. x = 14.5 Simplifying x = 14.5
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