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Simplifying (3x + -12) + 5 = (2x + -6) + 2 Reorder the terms: (-12 + 3x) + 5 = (2x + -6) + 2 Remove parenthesis around (-12 + 3x) -12 + 3x + 5 = (2x + -6) + 2 Reorder the terms: -12 + 5 + 3x = (2x + -6) + 2 Combine like terms: -12 + 5 = -7 -7 + 3x = (2x + -6) + 2 Reorder the terms: -7 + 3x = (-6 + 2x) + 2 Remove parenthesis around (-6 + 2x) -7 + 3x = -6 + 2x + 2 Reorder the terms: -7 + 3x = -6 + 2 + 2x Combine like terms: -6 + 2 = -4 -7 + 3x = -4 + 2x Solving -7 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = -4 + 0 -7 + 1x = -4 Add '7' to each side of the equation. -7 + 7 + 1x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -4 + 7 1x = -4 + 7 Combine like terms: -4 + 7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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