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Simplifying 3x + -4(x + 2) = 3x + 9 Reorder the terms: 3x + -4(2 + x) = 3x + 9 3x + (2 * -4 + x * -4) = 3x + 9 3x + (-8 + -4x) = 3x + 9 Reorder the terms: -8 + 3x + -4x = 3x + 9 Combine like terms: 3x + -4x = -1x -8 + -1x = 3x + 9 Reorder the terms: -8 + -1x = 9 + 3x Solving -8 + -1x = 9 + 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 = 9 + 3x + -3x Combine like terms: -1x + -3x = -4x -8 + -4x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -4x = 9 + 0 -8 + -4x = 9 Add '8' to each side of the equation. -8 + 8 + -4x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 9 + 8 -4x = 9 + 8 Combine like terms: 9 + 8 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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