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Simplifying -5(x + 1) = -7 + 3(6 + x) Reorder the terms: -5(1 + x) = -7 + 3(6 + x) (1 * -5 + x * -5) = -7 + 3(6 + x) (-5 + -5x) = -7 + 3(6 + x) -5 + -5x = -7 + (6 * 3 + x * 3) -5 + -5x = -7 + (18 + 3x) Combine like terms: -7 + 18 = 11 -5 + -5x = 11 + 3x Solving -5 + -5x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -5x + -3x = 11 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = 11 + 0 -5 + -8x = 11 Add '5' to each side of the equation. -5 + 5 + -8x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 11 + 5 -8x = 11 + 5 Combine like terms: 11 + 5 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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