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Simplifying 5x + 25 + -12 = 2x + 100 + 2x Reorder the terms: 25 + -12 + 5x = 2x + 100 + 2x Combine like terms: 25 + -12 = 13 13 + 5x = 2x + 100 + 2x Reorder the terms: 13 + 5x = 100 + 2x + 2x Combine like terms: 2x + 2x = 4x 13 + 5x = 100 + 4x Solving 13 + 5x = 100 + 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. 13 + 5x + -4x = 100 + 4x + -4x Combine like terms: 5x + -4x = 1x 13 + 1x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 1x = 100 + 0 13 + 1x = 100 Add '-13' to each side of the equation. 13 + -13 + 1x = 100 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 100 + -13 1x = 100 + -13 Combine like terms: 100 + -13 = 87 1x = 87 Divide each side by '1'. x = 87 Simplifying x = 87
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