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Simplifying 3(x + 7) = 2(x + -3) Reorder the terms: 3(7 + x) = 2(x + -3) (7 * 3 + x * 3) = 2(x + -3) (21 + 3x) = 2(x + -3) Reorder the terms: 21 + 3x = 2(-3 + x) 21 + 3x = (-3 * 2 + x * 2) 21 + 3x = (-6 + 2x) Solving 21 + 3x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = -6 + 0 21 + 1x = -6 Add '-21' to each side of the equation. 21 + -21 + 1x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -6 + -21 1x = -6 + -21 Combine like terms: -6 + -21 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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