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Simplifying 4(3x + -2) + 4(x + 1) = 100 Reorder the terms: 4(-2 + 3x) + 4(x + 1) = 100 (-2 * 4 + 3x * 4) + 4(x + 1) = 100 (-8 + 12x) + 4(x + 1) = 100 Reorder the terms: -8 + 12x + 4(1 + x) = 100 -8 + 12x + (1 * 4 + x * 4) = 100 -8 + 12x + (4 + 4x) = 100 Reorder the terms: -8 + 4 + 12x + 4x = 100 Combine like terms: -8 + 4 = -4 -4 + 12x + 4x = 100 Combine like terms: 12x + 4x = 16x -4 + 16x = 100 Solving -4 + 16x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16x = 100 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 100 + 4 16x = 100 + 4 Combine like terms: 100 + 4 = 104 16x = 104 Divide each side by '16'. x = 6.5 Simplifying x = 6.5
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