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Simplifying 6 = 2(3x + 5) + -2x Reorder the terms: 6 = 2(5 + 3x) + -2x 6 = (5 * 2 + 3x * 2) + -2x 6 = (10 + 6x) + -2x Combine like terms: 6x + -2x = 4x 6 = 10 + 4x Solving 6 = 10 + 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 + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -4x = 10 + 0 6 + -4x = 10 Add '-6' to each side of the equation. 6 + -6 + -4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 10 + -6 -4x = 10 + -6 Combine like terms: 10 + -6 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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