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Simplifying 8 + -1(x + 5) = 3(x + 7) Reorder the terms: 8 + -1(5 + x) = 3(x + 7) 8 + (5 * -1 + x * -1) = 3(x + 7) 8 + (-5 + -1x) = 3(x + 7) Combine like terms: 8 + -5 = 3 3 + -1x = 3(x + 7) Reorder the terms: 3 + -1x = 3(7 + x) 3 + -1x = (7 * 3 + x * 3) 3 + -1x = (21 + 3x) Solving 3 + -1x = 21 + 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. 3 + -1x + -3x = 21 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x = 21 + 0 3 + -4x = 21 Add '-3' to each side of the equation. 3 + -3 + -4x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 21 + -3 -4x = 21 + -3 Combine like terms: 21 + -3 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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