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Simplifying 7(2x + 4) = 1 + -1(x + 4) Reorder the terms: 7(4 + 2x) = 1 + -1(x + 4) (4 * 7 + 2x * 7) = 1 + -1(x + 4) (28 + 14x) = 1 + -1(x + 4) Reorder the terms: 28 + 14x = 1 + -1(4 + x) 28 + 14x = 1 + (4 * -1 + x * -1) 28 + 14x = 1 + (-4 + -1x) Combine like terms: 1 + -4 = -3 28 + 14x = -3 + -1x Solving 28 + 14x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 28 + 14x + x = -3 + -1x + x Combine like terms: 14x + x = 15x 28 + 15x = -3 + -1x + x Combine like terms: -1x + x = 0 28 + 15x = -3 + 0 28 + 15x = -3 Add '-28' to each side of the equation. 28 + -28 + 15x = -3 + -28 Combine like terms: 28 + -28 = 0 0 + 15x = -3 + -28 15x = -3 + -28 Combine like terms: -3 + -28 = -31 15x = -31 Divide each side by '15'. x = -2.066666667 Simplifying x = -2.066666667
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