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Simplifying 6x + 6 = -2(x + 5) Reorder the terms: 6 + 6x = -2(x + 5) Reorder the terms: 6 + 6x = -2(5 + x) 6 + 6x = (5 * -2 + x * -2) 6 + 6x = (-10 + -2x) Solving 6 + 6x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 6x + 2x = -10 + -2x + 2x Combine like terms: 6x + 2x = 8x 6 + 8x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 8x = -10 + 0 6 + 8x = -10 Add '-6' to each side of the equation. 6 + -6 + 8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -10 + -6 8x = -10 + -6 Combine like terms: -10 + -6 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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