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Simplifying 2(x + 3) = 6(x + -5) Reorder the terms: 2(3 + x) = 6(x + -5) (3 * 2 + x * 2) = 6(x + -5) (6 + 2x) = 6(x + -5) Reorder the terms: 6 + 2x = 6(-5 + x) 6 + 2x = (-5 * 6 + x * 6) 6 + 2x = (-30 + 6x) Solving 6 + 2x = -30 + 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. 6 + 2x + -6x = -30 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = -30 + 0 6 + -4x = -30 Add '-6' to each side of the equation. 6 + -6 + -4x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -30 + -6 -4x = -30 + -6 Combine like terms: -30 + -6 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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