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Simplifying 3(2x + 2) = 5(x + -3) Reorder the terms: 3(2 + 2x) = 5(x + -3) (2 * 3 + 2x * 3) = 5(x + -3) (6 + 6x) = 5(x + -3) Reorder the terms: 6 + 6x = 5(-3 + x) 6 + 6x = (-3 * 5 + x * 5) 6 + 6x = (-15 + 5x) Solving 6 + 6x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = -15 + 0 6 + 1x = -15 Add '-6' to each side of the equation. 6 + -6 + 1x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -15 + -6 1x = -15 + -6 Combine like terms: -15 + -6 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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