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Simplifying 7 + -2(4 + x) = 3x + 9 7 + (4 * -2 + x * -2) = 3x + 9 7 + (-8 + -2x) = 3x + 9 Combine like terms: 7 + -8 = -1 -1 + -2x = 3x + 9 Reorder the terms: -1 + -2x = 9 + 3x Solving -1 + -2x = 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. -1 + -2x + -3x = 9 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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