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Simplifying 2x + 5 + -7x = 12 + -3(4x + 5) Reorder the terms: 5 + 2x + -7x = 12 + -3(4x + 5) Combine like terms: 2x + -7x = -5x 5 + -5x = 12 + -3(4x + 5) Reorder the terms: 5 + -5x = 12 + -3(5 + 4x) 5 + -5x = 12 + (5 * -3 + 4x * -3) 5 + -5x = 12 + (-15 + -12x) Combine like terms: 12 + -15 = -3 5 + -5x = -3 + -12x Solving 5 + -5x = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 5 + -5x + 12x = -3 + -12x + 12x Combine like terms: -5x + 12x = 7x 5 + 7x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 7x = -3 + 0 5 + 7x = -3 Add '-5' to each side of the equation. 5 + -5 + 7x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -3 + -5 7x = -3 + -5 Combine like terms: -3 + -5 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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