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Simplifying 2(2x + 7) = 3(x + -50) Reorder the terms: 2(7 + 2x) = 3(x + -50) (7 * 2 + 2x * 2) = 3(x + -50) (14 + 4x) = 3(x + -50) Reorder the terms: 14 + 4x = 3(-50 + x) 14 + 4x = (-50 * 3 + x * 3) 14 + 4x = (-150 + 3x) Solving 14 + 4x = -150 + 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. 14 + 4x + -3x = -150 + 3x + -3x Combine like terms: 4x + -3x = 1x 14 + 1x = -150 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 1x = -150 + 0 14 + 1x = -150 Add '-14' to each side of the equation. 14 + -14 + 1x = -150 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -150 + -14 1x = -150 + -14 Combine like terms: -150 + -14 = -164 1x = -164 Divide each side by '1'. x = -164 Simplifying x = -164
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