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Simplifying -2x + -27(x + 4) = -7(4x + 2) Reorder the terms: -2x + -27(4 + x) = -7(4x + 2) -2x + (4 * -27 + x * -27) = -7(4x + 2) -2x + (-108 + -27x) = -7(4x + 2) Reorder the terms: -108 + -2x + -27x = -7(4x + 2) Combine like terms: -2x + -27x = -29x -108 + -29x = -7(4x + 2) Reorder the terms: -108 + -29x = -7(2 + 4x) -108 + -29x = (2 * -7 + 4x * -7) -108 + -29x = (-14 + -28x) Solving -108 + -29x = -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. -108 + -29x + 28x = -14 + -28x + 28x Combine like terms: -29x + 28x = -1x -108 + -1x = -14 + -28x + 28x Combine like terms: -28x + 28x = 0 -108 + -1x = -14 + 0 -108 + -1x = -14 Add '108' to each side of the equation. -108 + 108 + -1x = -14 + 108 Combine like terms: -108 + 108 = 0 0 + -1x = -14 + 108 -1x = -14 + 108 Combine like terms: -14 + 108 = 94 -1x = 94 Divide each side by '-1'. x = -94 Simplifying x = -94
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