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Simplifying 8x + -1(x + 3) = -2(2x + 1) + -12 Reorder the terms: 8x + -1(3 + x) = -2(2x + 1) + -12 8x + (3 * -1 + x * -1) = -2(2x + 1) + -12 8x + (-3 + -1x) = -2(2x + 1) + -12 Reorder the terms: -3 + 8x + -1x = -2(2x + 1) + -12 Combine like terms: 8x + -1x = 7x -3 + 7x = -2(2x + 1) + -12 Reorder the terms: -3 + 7x = -2(1 + 2x) + -12 -3 + 7x = (1 * -2 + 2x * -2) + -12 -3 + 7x = (-2 + -4x) + -12 Reorder the terms: -3 + 7x = -2 + -12 + -4x Combine like terms: -2 + -12 = -14 -3 + 7x = -14 + -4x Solving -3 + 7x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 7x + 4x = -14 + -4x + 4x Combine like terms: 7x + 4x = 11x -3 + 11x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 11x = -14 + 0 -3 + 11x = -14 Add '3' to each side of the equation. -3 + 3 + 11x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = -14 + 3 11x = -14 + 3 Combine like terms: -14 + 3 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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