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Simplifying 2(x + 6) = 6(x + -5) Reorder the terms: 2(6 + x) = 6(x + -5) (6 * 2 + x * 2) = 6(x + -5) (12 + 2x) = 6(x + -5) Reorder the terms: 12 + 2x = 6(-5 + x) 12 + 2x = (-5 * 6 + x * 6) 12 + 2x = (-30 + 6x) Solving 12 + 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. 12 + 2x + -6x = -30 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = -30 + 0 12 + -4x = -30 Add '-12' to each side of the equation. 12 + -12 + -4x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -30 + -12 -4x = -30 + -12 Combine like terms: -30 + -12 = -42 -4x = -42 Divide each side by '-4'. x = 10.5 Simplifying x = 10.5
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