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Simplifying 6 + 2(2x + -5) = 6x + 12 Reorder the terms: 6 + 2(-5 + 2x) = 6x + 12 6 + (-5 * 2 + 2x * 2) = 6x + 12 6 + (-10 + 4x) = 6x + 12 Combine like terms: 6 + -10 = -4 -4 + 4x = 6x + 12 Reorder the terms: -4 + 4x = 12 + 6x Solving -4 + 4x = 12 + 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 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -4 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -2x = 12 + 0 -4 + -2x = 12 Add '4' to each side of the equation. -4 + 4 + -2x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 12 + 4 -2x = 12 + 4 Combine like terms: 12 + 4 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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