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Simplifying 7 + (x + -2) = 3(x + 4) Reorder the terms: 7 + (-2 + x) = 3(x + 4) Remove parenthesis around (-2 + x) 7 + -2 + x = 3(x + 4) Combine like terms: 7 + -2 = 5 5 + x = 3(x + 4) Reorder the terms: 5 + x = 3(4 + x) 5 + x = (4 * 3 + x * 3) 5 + x = (12 + 3x) Solving 5 + x = 12 + 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. 5 + x + -3x = 12 + 3x + -3x Combine like terms: x + -3x = -2x 5 + -2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -2x = 12 + 0 5 + -2x = 12 Add '-5' to each side of the equation. 5 + -5 + -2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 12 + -5 -2x = 12 + -5 Combine like terms: 12 + -5 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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