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Simplifying 1(x + 3) + -6 = -7(x + 7) Reorder the terms: 1(3 + x) + -6 = -7(x + 7) (3 * 1 + x * 1) + -6 = -7(x + 7) (3 + 1x) + -6 = -7(x + 7) Reorder the terms: 3 + -6 + 1x = -7(x + 7) Combine like terms: 3 + -6 = -3 -3 + 1x = -7(x + 7) Reorder the terms: -3 + 1x = -7(7 + x) -3 + 1x = (7 * -7 + x * -7) -3 + 1x = (-49 + -7x) Solving -3 + 1x = -49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + 1x + 7x = -49 + -7x + 7x Combine like terms: 1x + 7x = 8x -3 + 8x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 8x = -49 + 0 -3 + 8x = -49 Add '3' to each side of the equation. -3 + 3 + 8x = -49 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -49 + 3 8x = -49 + 3 Combine like terms: -49 + 3 = -46 8x = -46 Divide each side by '8'. x = -5.75 Simplifying x = -5.75
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