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Simplifying 38 + -25 + -1(x + 5) = 12 + 3x Reorder the terms: 38 + -25 + -1(5 + x) = 12 + 3x 38 + -25 + (5 * -1 + x * -1) = 12 + 3x 38 + -25 + (-5 + -1x) = 12 + 3x Combine like terms: 38 + -25 = 13 13 + -5 + -1x = 12 + 3x Combine like terms: 13 + -5 = 8 8 + -1x = 12 + 3x Solving 8 + -1x = 12 + 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. 8 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 8 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -4x = 12 + 0 8 + -4x = 12 Add '-8' to each side of the equation. 8 + -8 + -4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 12 + -8 -4x = 12 + -8 Combine like terms: 12 + -8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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