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Simplifying 2(x + 5) + -6 = 6(x + -6) Reorder the terms: 2(5 + x) + -6 = 6(x + -6) (5 * 2 + x * 2) + -6 = 6(x + -6) (10 + 2x) + -6 = 6(x + -6) Reorder the terms: 10 + -6 + 2x = 6(x + -6) Combine like terms: 10 + -6 = 4 4 + 2x = 6(x + -6) Reorder the terms: 4 + 2x = 6(-6 + x) 4 + 2x = (-6 * 6 + x * 6) 4 + 2x = (-36 + 6x) Solving 4 + 2x = -36 + 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. 4 + 2x + -6x = -36 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = -36 + 0 4 + -4x = -36 Add '-4' to each side of the equation. 4 + -4 + -4x = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -36 + -4 -4x = -36 + -4 Combine like terms: -36 + -4 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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