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Simplifying 3x + -4(x + 2) = 3(2 + -1x) + 4 Reorder the terms: 3x + -4(2 + x) = 3(2 + -1x) + 4 3x + (2 * -4 + x * -4) = 3(2 + -1x) + 4 3x + (-8 + -4x) = 3(2 + -1x) + 4 Reorder the terms: -8 + 3x + -4x = 3(2 + -1x) + 4 Combine like terms: 3x + -4x = -1x -8 + -1x = 3(2 + -1x) + 4 -8 + -1x = (2 * 3 + -1x * 3) + 4 -8 + -1x = (6 + -3x) + 4 Reorder the terms: -8 + -1x = 6 + 4 + -3x Combine like terms: 6 + 4 = 10 -8 + -1x = 10 + -3x Solving -8 + -1x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + -1x + 3x = 10 + -3x + 3x Combine like terms: -1x + 3x = 2x -8 + 2x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 2x = 10 + 0 -8 + 2x = 10 Add '8' to each side of the equation. -8 + 8 + 2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 10 + 8 2x = 10 + 8 Combine like terms: 10 + 8 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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