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Simplifying x + -2 = 5(x + 6) Reorder the terms: -2 + x = 5(x + 6) Reorder the terms: -2 + x = 5(6 + x) -2 + x = (6 * 5 + x * 5) -2 + x = (30 + 5x) Solving -2 + x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + x + -5x = 30 + 5x + -5x Combine like terms: x + -5x = -4x -2 + -4x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = 30 + 0 -2 + -4x = 30 Add '2' to each side of the equation. -2 + 2 + -4x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 30 + 2 -4x = 30 + 2 Combine like terms: 30 + 2 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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