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Simplifying 7 + -4(x + 2) = 9 + x Reorder the terms: 7 + -4(2 + x) = 9 + x 7 + (2 * -4 + x * -4) = 9 + x 7 + (-8 + -4x) = 9 + x Combine like terms: 7 + -8 = -1 -1 + -4x = 9 + x Solving -1 + -4x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -4x + -1x = 9 + x + -1x Combine like terms: -4x + -1x = -5x -1 + -5x = 9 + x + -1x Combine like terms: x + -1x = 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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