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Simplifying 7(2x + 4) = 2 + -1(30 + -1x) Reorder the terms: 7(4 + 2x) = 2 + -1(30 + -1x) (4 * 7 + 2x * 7) = 2 + -1(30 + -1x) (28 + 14x) = 2 + -1(30 + -1x) 28 + 14x = 2 + (30 * -1 + -1x * -1) 28 + 14x = 2 + (-30 + 1x) Combine like terms: 2 + -30 = -28 28 + 14x = -28 + 1x Solving 28 + 14x = -28 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 28 + 14x + -1x = -28 + 1x + -1x Combine like terms: 14x + -1x = 13x 28 + 13x = -28 + 1x + -1x Combine like terms: 1x + -1x = 0 28 + 13x = -28 + 0 28 + 13x = -28 Add '-28' to each side of the equation. 28 + -28 + 13x = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = -28 + -28 13x = -28 + -28 Combine like terms: -28 + -28 = -56 13x = -56 Divide each side by '13'. x = -4.307692308 Simplifying x = -4.307692308
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