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Simplifying x + -7(4x + 4) = -4(7x + 4) + 2 Reorder the terms: x + -7(4 + 4x) = -4(7x + 4) + 2 x + (4 * -7 + 4x * -7) = -4(7x + 4) + 2 x + (-28 + -28x) = -4(7x + 4) + 2 Reorder the terms: -28 + x + -28x = -4(7x + 4) + 2 Combine like terms: x + -28x = -27x -28 + -27x = -4(7x + 4) + 2 Reorder the terms: -28 + -27x = -4(4 + 7x) + 2 -28 + -27x = (4 * -4 + 7x * -4) + 2 -28 + -27x = (-16 + -28x) + 2 Reorder the terms: -28 + -27x = -16 + 2 + -28x Combine like terms: -16 + 2 = -14 -28 + -27x = -14 + -28x Solving -28 + -27x = -14 + -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. -28 + -27x + 28x = -14 + -28x + 28x Combine like terms: -27x + 28x = 1x -28 + 1x = -14 + -28x + 28x Combine like terms: -28x + 28x = 0 -28 + 1x = -14 + 0 -28 + 1x = -14 Add '28' to each side of the equation. -28 + 28 + 1x = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -14 + 28 1x = -14 + 28 Combine like terms: -14 + 28 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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