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Simplifying 3 + -2(x + 3) = 3x + 7 Reorder the terms: 3 + -2(3 + x) = 3x + 7 3 + (3 * -2 + x * -2) = 3x + 7 3 + (-6 + -2x) = 3x + 7 Combine like terms: 3 + -6 = -3 -3 + -2x = 3x + 7 Reorder the terms: -3 + -2x = 7 + 3x Solving -3 + -2x = 7 + 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. -3 + -2x + -3x = 7 + 3x + -3x Combine like terms: -2x + -3x = -5x -3 + -5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -5x = 7 + 0 -3 + -5x = 7 Add '3' to each side of the equation. -3 + 3 + -5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 7 + 3 -5x = 7 + 3 Combine like terms: 7 + 3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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