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Simplifying 6 + -5x = 2(2x + -6) Reorder the terms: 6 + -5x = 2(-6 + 2x) 6 + -5x = (-6 * 2 + 2x * 2) 6 + -5x = (-12 + 4x) Solving 6 + -5x = -12 + 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 + -5x + -4x = -12 + 4x + -4x Combine like terms: -5x + -4x = -9x 6 + -9x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -9x = -12 + 0 6 + -9x = -12 Add '-6' to each side of the equation. 6 + -6 + -9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -12 + -6 -9x = -12 + -6 Combine like terms: -12 + -6 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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