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Simplifying 2[7 + -1(-2x + -2)] = 28x + 42 Reorder the terms: 2[7 + -1(-2 + -2x)] = 28x + 42 2[7 + (-2 * -1 + -2x * -1)] = 28x + 42 2[7 + (2 + 2x)] = 28x + 42 Combine like terms: 7 + 2 = 9 2[9 + 2x] = 28x + 42 [9 * 2 + 2x * 2] = 28x + 42 [18 + 4x] = 28x + 42 Reorder the terms: 18 + 4x = 42 + 28x Solving 18 + 4x = 42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 18 + 4x + -28x = 42 + 28x + -28x Combine like terms: 4x + -28x = -24x 18 + -24x = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 18 + -24x = 42 + 0 18 + -24x = 42 Add '-18' to each side of the equation. 18 + -18 + -24x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -24x = 42 + -18 -24x = 42 + -18 Combine like terms: 42 + -18 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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