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Simplifying 6(2x + -6) + 5 = 3 + 2x Reorder the terms: 6(-6 + 2x) + 5 = 3 + 2x (-6 * 6 + 2x * 6) + 5 = 3 + 2x (-36 + 12x) + 5 = 3 + 2x Reorder the terms: -36 + 5 + 12x = 3 + 2x Combine like terms: -36 + 5 = -31 -31 + 12x = 3 + 2x Solving -31 + 12x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 12x + -2x = 3 + 2x + -2x Combine like terms: 12x + -2x = 10x -31 + 10x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 10x = 3 + 0 -31 + 10x = 3 Add '31' to each side of the equation. -31 + 31 + 10x = 3 + 31 Combine like terms: -31 + 31 = 0 0 + 10x = 3 + 31 10x = 3 + 31 Combine like terms: 3 + 31 = 34 10x = 34 Divide each side by '10'. x = 3.4 Simplifying x = 3.4
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