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Simplifying 5x + 7 = 2 + -1(3x + 1) Reorder the terms: 7 + 5x = 2 + -1(3x + 1) Reorder the terms: 7 + 5x = 2 + -1(1 + 3x) 7 + 5x = 2 + (1 * -1 + 3x * -1) 7 + 5x = 2 + (-1 + -3x) Combine like terms: 2 + -1 = 1 7 + 5x = 1 + -3x Solving 7 + 5x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 5x + 3x = 1 + -3x + 3x Combine like terms: 5x + 3x = 8x 7 + 8x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 8x = 1 + 0 7 + 8x = 1 Add '-7' to each side of the equation. 7 + -7 + 8x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 1 + -7 8x = 1 + -7 Combine like terms: 1 + -7 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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