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Simplifying 3x + -2(5x + -1) = 7x + 12 Reorder the terms: 3x + -2(-1 + 5x) = 7x + 12 3x + (-1 * -2 + 5x * -2) = 7x + 12 3x + (2 + -10x) = 7x + 12 Reorder the terms: 2 + 3x + -10x = 7x + 12 Combine like terms: 3x + -10x = -7x 2 + -7x = 7x + 12 Reorder the terms: 2 + -7x = 12 + 7x Solving 2 + -7x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -7x + -7x = 12 + 7x + -7x Combine like terms: -7x + -7x = -14x 2 + -14x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -14x = 12 + 0 2 + -14x = 12 Add '-2' to each side of the equation. 2 + -2 + -14x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 12 + -2 -14x = 12 + -2 Combine like terms: 12 + -2 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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