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Simplifying 7(2x + 2) = 3(4x + -10) Reorder the terms: 7(2 + 2x) = 3(4x + -10) (2 * 7 + 2x * 7) = 3(4x + -10) (14 + 14x) = 3(4x + -10) Reorder the terms: 14 + 14x = 3(-10 + 4x) 14 + 14x = (-10 * 3 + 4x * 3) 14 + 14x = (-30 + 12x) Solving 14 + 14x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 14x + -12x = -30 + 12x + -12x Combine like terms: 14x + -12x = 2x 14 + 2x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + 2x = -30 + 0 14 + 2x = -30 Add '-14' to each side of the equation. 14 + -14 + 2x = -30 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = -30 + -14 2x = -30 + -14 Combine like terms: -30 + -14 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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