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Simplifying 2x + -3(2x + 5) = 7x + -12 Reorder the terms: 2x + -3(5 + 2x) = 7x + -12 2x + (5 * -3 + 2x * -3) = 7x + -12 2x + (-15 + -6x) = 7x + -12 Reorder the terms: -15 + 2x + -6x = 7x + -12 Combine like terms: 2x + -6x = -4x -15 + -4x = 7x + -12 Reorder the terms: -15 + -4x = -12 + 7x Solving -15 + -4x = -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. -15 + -4x + -7x = -12 + 7x + -7x Combine like terms: -4x + -7x = -11x -15 + -11x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -11x = -12 + 0 -15 + -11x = -12 Add '15' to each side of the equation. -15 + 15 + -11x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = -12 + 15 -11x = -12 + 15 Combine like terms: -12 + 15 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727
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