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Simplifying 3(2x + 2) = 2(x + -5) Reorder the terms: 3(2 + 2x) = 2(x + -5) (2 * 3 + 2x * 3) = 2(x + -5) (6 + 6x) = 2(x + -5) Reorder the terms: 6 + 6x = 2(-5 + x) 6 + 6x = (-5 * 2 + x * 2) 6 + 6x = (-10 + 2x) Solving 6 + 6x = -10 + 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. 6 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = -10 + 0 6 + 4x = -10 Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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