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Simplifying 7(4x + 4) = 11 + -1(x + 2) Reorder the terms: 7(4 + 4x) = 11 + -1(x + 2) (4 * 7 + 4x * 7) = 11 + -1(x + 2) (28 + 28x) = 11 + -1(x + 2) Reorder the terms: 28 + 28x = 11 + -1(2 + x) 28 + 28x = 11 + (2 * -1 + x * -1) 28 + 28x = 11 + (-2 + -1x) Combine like terms: 11 + -2 = 9 28 + 28x = 9 + -1x Solving 28 + 28x = 9 + -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 + 28x + x = 9 + -1x + x Combine like terms: 28x + x = 29x 28 + 29x = 9 + -1x + x Combine like terms: -1x + x = 0 28 + 29x = 9 + 0 28 + 29x = 9 Add '-28' to each side of the equation. 28 + -28 + 29x = 9 + -28 Combine like terms: 28 + -28 = 0 0 + 29x = 9 + -28 29x = 9 + -28 Combine like terms: 9 + -28 = -19 29x = -19 Divide each side by '29'. x = -0.6551724138 Simplifying x = -0.6551724138
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