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Simplifying 8x + -1(x + 3) = -1(2x + 1) + -12 Reorder the terms: 8x + -1(3 + x) = -1(2x + 1) + -12 8x + (3 * -1 + x * -1) = -1(2x + 1) + -12 8x + (-3 + -1x) = -1(2x + 1) + -12 Reorder the terms: -3 + 8x + -1x = -1(2x + 1) + -12 Combine like terms: 8x + -1x = 7x -3 + 7x = -1(2x + 1) + -12 Reorder the terms: -3 + 7x = -1(1 + 2x) + -12 -3 + 7x = (1 * -1 + 2x * -1) + -12 -3 + 7x = (-1 + -2x) + -12 Reorder the terms: -3 + 7x = -1 + -12 + -2x Combine like terms: -1 + -12 = -13 -3 + 7x = -13 + -2x Solving -3 + 7x = -13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 7x + 2x = -13 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = -13 + 0 -3 + 9x = -13 Add '3' to each side of the equation. -3 + 3 + 9x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = -13 + 3 9x = -13 + 3 Combine like terms: -13 + 3 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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