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Simplifying 6(2x + -2) = 45 + 5x Reorder the terms: 6(-2 + 2x) = 45 + 5x (-2 * 6 + 2x * 6) = 45 + 5x (-12 + 12x) = 45 + 5x Solving -12 + 12x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 12x + -5x = 45 + 5x + -5x Combine like terms: 12x + -5x = 7x -12 + 7x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 7x = 45 + 0 -12 + 7x = 45 Add '12' to each side of the equation. -12 + 12 + 7x = 45 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 45 + 12 7x = 45 + 12 Combine like terms: 45 + 12 = 57 7x = 57 Divide each side by '7'. x = 8.142857143 Simplifying x = 8.142857143
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