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Simplifying 3x + -12 + 5 = 2x + 13 Reorder the terms: -12 + 5 + 3x = 2x + 13 Combine like terms: -12 + 5 = -7 -7 + 3x = 2x + 13 Reorder the terms: -7 + 3x = 13 + 2x Solving -7 + 3x = 13 + 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 = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 13 + 0 -7 + 1x = 13 Add '7' to each side of the equation. -7 + 7 + 1x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 13 + 7 1x = 13 + 7 Combine like terms: 13 + 7 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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