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Simplifying 5x + 12 + 15 + -10x = 7x + 3 Reorder the terms: 12 + 15 + 5x + -10x = 7x + 3 Combine like terms: 12 + 15 = 27 27 + 5x + -10x = 7x + 3 Combine like terms: 5x + -10x = -5x 27 + -5x = 7x + 3 Reorder the terms: 27 + -5x = 3 + 7x Solving 27 + -5x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + -5x + -7x = 3 + 7x + -7x Combine like terms: -5x + -7x = -12x 27 + -12x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -12x = 3 + 0 27 + -12x = 3 Add '-27' to each side of the equation. 27 + -27 + -12x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -12x = 3 + -27 -12x = 3 + -27 Combine like terms: 3 + -27 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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