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Simplifying 7 + 3x = 2 + -1(5x + 7) Reorder the terms: 7 + 3x = 2 + -1(7 + 5x) 7 + 3x = 2 + (7 * -1 + 5x * -1) 7 + 3x = 2 + (-7 + -5x) Combine like terms: 2 + -7 = -5 7 + 3x = -5 + -5x Solving 7 + 3x = -5 + -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. 7 + 3x + 5x = -5 + -5x + 5x Combine like terms: 3x + 5x = 8x 7 + 8x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 8x = -5 + 0 7 + 8x = -5 Add '-7' to each side of the equation. 7 + -7 + 8x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -5 + -7 8x = -5 + -7 Combine like terms: -5 + -7 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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