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Simplifying x + 5 = -1(3x + -7) Reorder the terms: 5 + x = -1(3x + -7) Reorder the terms: 5 + x = -1(-7 + 3x) 5 + x = (-7 * -1 + 3x * -1) 5 + x = (7 + -3x) Solving 5 + x = 7 + -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. 5 + x + 3x = 7 + -3x + 3x Combine like terms: x + 3x = 4x 5 + 4x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 4x = 7 + 0 5 + 4x = 7 Add '-5' to each side of the equation. 5 + -5 + 4x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 7 + -5 4x = 7 + -5 Combine like terms: 7 + -5 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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