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Simplifying 2(x + 3) = 2x + -6(x + 5) Reorder the terms: 2(3 + x) = 2x + -6(x + 5) (3 * 2 + x * 2) = 2x + -6(x + 5) (6 + 2x) = 2x + -6(x + 5) Reorder the terms: 6 + 2x = 2x + -6(5 + x) 6 + 2x = 2x + (5 * -6 + x * -6) 6 + 2x = 2x + (-30 + -6x) Reorder the terms: 6 + 2x = -30 + 2x + -6x Combine like terms: 2x + -6x = -4x 6 + 2x = -30 + -4x Solving 6 + 2x = -30 + -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 + 2x + 4x = -30 + -4x + 4x Combine like terms: 2x + 4x = 6x 6 + 6x = -30 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 6x = -30 + 0 6 + 6x = -30 Add '-6' to each side of the equation. 6 + -6 + 6x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -30 + -6 6x = -30 + -6 Combine like terms: -30 + -6 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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