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Simplifying 8 + 2 + 3(x + -5) = 7 + -1(4x + 7) Reorder the terms: 8 + 2 + 3(-5 + x) = 7 + -1(4x + 7) 8 + 2 + (-5 * 3 + x * 3) = 7 + -1(4x + 7) 8 + 2 + (-15 + 3x) = 7 + -1(4x + 7) Combine like terms: 8 + 2 = 10 10 + -15 + 3x = 7 + -1(4x + 7) Combine like terms: 10 + -15 = -5 -5 + 3x = 7 + -1(4x + 7) Reorder the terms: -5 + 3x = 7 + -1(7 + 4x) -5 + 3x = 7 + (7 * -1 + 4x * -1) -5 + 3x = 7 + (-7 + -4x) Combine like terms: 7 + -7 = 0 -5 + 3x = 0 + -4x -5 + 3x = -4x Solving -5 + 3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x -5 + 7x = -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 7x = 0 Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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