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Simplifying -2(2x + 1) = 12(2x + -7) Reorder the terms: -2(1 + 2x) = 12(2x + -7) (1 * -2 + 2x * -2) = 12(2x + -7) (-2 + -4x) = 12(2x + -7) Reorder the terms: -2 + -4x = 12(-7 + 2x) -2 + -4x = (-7 * 12 + 2x * 12) -2 + -4x = (-84 + 24x) Solving -2 + -4x = -84 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + -4x + -24x = -84 + 24x + -24x Combine like terms: -4x + -24x = -28x -2 + -28x = -84 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -28x = -84 + 0 -2 + -28x = -84 Add '2' to each side of the equation. -2 + 2 + -28x = -84 + 2 Combine like terms: -2 + 2 = 0 0 + -28x = -84 + 2 -28x = -84 + 2 Combine like terms: -84 + 2 = -82 -28x = -82 Divide each side by '-28'. x = 2.928571429 Simplifying x = 2.928571429
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