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