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Simplifying -2(x + 5) = 6(x + 2) Reorder the terms: -2(5 + x) = 6(x + 2) (5 * -2 + x * -2) = 6(x + 2) (-10 + -2x) = 6(x + 2) Reorder the terms: -10 + -2x = 6(2 + x) -10 + -2x = (2 * 6 + x * 6) -10 + -2x = (12 + 6x) Solving -10 + -2x = 12 + 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. -10 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = 12 + 0 -10 + -8x = 12 Add '10' to each side of the equation. -10 + 10 + -8x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 12 + 10 -8x = 12 + 10 Combine like terms: 12 + 10 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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