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Simplifying 7(x + -1) + 3 = -6(x + 8) Reorder the terms: 7(-1 + x) + 3 = -6(x + 8) (-1 * 7 + x * 7) + 3 = -6(x + 8) (-7 + 7x) + 3 = -6(x + 8) Reorder the terms: -7 + 3 + 7x = -6(x + 8) Combine like terms: -7 + 3 = -4 -4 + 7x = -6(x + 8) Reorder the terms: -4 + 7x = -6(8 + x) -4 + 7x = (8 * -6 + x * -6) -4 + 7x = (-48 + -6x) Solving -4 + 7x = -48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 7x + 6x = -48 + -6x + 6x Combine like terms: 7x + 6x = 13x -4 + 13x = -48 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 13x = -48 + 0 -4 + 13x = -48 Add '4' to each side of the equation. -4 + 4 + 13x = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = -48 + 4 13x = -48 + 4 Combine like terms: -48 + 4 = -44 13x = -44 Divide each side by '13'. x = -3.384615385 Simplifying x = -3.384615385
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