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Simplifying 7(4x + 3) = 7(2x + -1) Reorder the terms: 7(3 + 4x) = 7(2x + -1) (3 * 7 + 4x * 7) = 7(2x + -1) (21 + 28x) = 7(2x + -1) Reorder the terms: 21 + 28x = 7(-1 + 2x) 21 + 28x = (-1 * 7 + 2x * 7) 21 + 28x = (-7 + 14x) Solving 21 + 28x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 21 + 28x + -14x = -7 + 14x + -14x Combine like terms: 28x + -14x = 14x 21 + 14x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + 14x = -7 + 0 21 + 14x = -7 Add '-21' to each side of the equation. 21 + -21 + 14x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + 14x = -7 + -21 14x = -7 + -21 Combine like terms: -7 + -21 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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