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Simplifying 5 + -5(x + 2) = 7 + x Reorder the terms: 5 + -5(2 + x) = 7 + x 5 + (2 * -5 + x * -5) = 7 + x 5 + (-10 + -5x) = 7 + x Combine like terms: 5 + -10 = -5 -5 + -5x = 7 + x Solving -5 + -5x = 7 + 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. -5 + -5x + -1x = 7 + x + -1x Combine like terms: -5x + -1x = -6x -5 + -6x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + -6x = 7 + 0 -5 + -6x = 7 Add '5' to each side of the equation. -5 + 5 + -6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 7 + 5 -6x = 7 + 5 Combine like terms: 7 + 5 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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