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Simplifying -5(x + 2) = 3(x + 6) Reorder the terms: -5(2 + x) = 3(x + 6) (2 * -5 + x * -5) = 3(x + 6) (-10 + -5x) = 3(x + 6) Reorder the terms: -10 + -5x = 3(6 + x) -10 + -5x = (6 * 3 + x * 3) -10 + -5x = (18 + 3x) Solving -10 + -5x = 18 + 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. -10 + -5x + -3x = 18 + 3x + -3x Combine like terms: -5x + -3x = -8x -10 + -8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -8x = 18 + 0 -10 + -8x = 18 Add '10' to each side of the equation. -10 + 10 + -8x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 18 + 10 -8x = 18 + 10 Combine like terms: 18 + 10 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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