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Simplifying 7 + -2(x + 3) = 5 + (x + -4) Reorder the terms: 7 + -2(3 + x) = 5 + (x + -4) 7 + (3 * -2 + x * -2) = 5 + (x + -4) 7 + (-6 + -2x) = 5 + (x + -4) Combine like terms: 7 + -6 = 1 1 + -2x = 5 + (x + -4) Reorder the terms: 1 + -2x = 5 + (-4 + x) Remove parenthesis around (-4 + x) 1 + -2x = 5 + -4 + x Combine like terms: 5 + -4 = 1 1 + -2x = 1 + x Add '-1' to each side of the equation. 1 + -1 + -2x = 1 + -1 + x Combine like terms: 1 + -1 = 0 0 + -2x = 1 + -1 + x -2x = 1 + -1 + x Combine like terms: 1 + -1 = 0 -2x = 0 + x -2x = x Solving -2x = 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. -2x + -1x = x + -1x Combine like terms: -2x + -1x = -3x -3x = x + -1x Combine like terms: x + -1x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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