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Simplifying x + -6 = 32 + 4(x + 7) Reorder the terms: -6 + x = 32 + 4(x + 7) Reorder the terms: -6 + x = 32 + 4(7 + x) -6 + x = 32 + (7 * 4 + x * 4) -6 + x = 32 + (28 + 4x) Combine like terms: 32 + 28 = 60 -6 + x = 60 + 4x Solving -6 + x = 60 + 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. -6 + x + -4x = 60 + 4x + -4x Combine like terms: x + -4x = -3x -6 + -3x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = 60 + 0 -6 + -3x = 60 Add '6' to each side of the equation. -6 + 6 + -3x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 60 + 6 -3x = 60 + 6 Combine like terms: 60 + 6 = 66 -3x = 66 Divide each side by '-3'. x = -22 Simplifying x = -22
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