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Simplifying 3x + 5 = x + (3x + -12) Reorder the terms: 5 + 3x = x + (3x + -12) Reorder the terms: 5 + 3x = x + (-12 + 3x) Remove parenthesis around (-12 + 3x) 5 + 3x = x + -12 + 3x Reorder the terms: 5 + 3x = -12 + x + 3x Combine like terms: x + 3x = 4x 5 + 3x = -12 + 4x Solving 5 + 3x = -12 + 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 = -12 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = -12 + 0 5 + -1x = -12 Add '-5' to each side of the equation. 5 + -5 + -1x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -12 + -5 -1x = -12 + -5 Combine like terms: -12 + -5 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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