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Simplifying 5x + 2 + -8 = 12x + 2 + -15 Reorder the terms: 2 + -8 + 5x = 12x + 2 + -15 Combine like terms: 2 + -8 = -6 -6 + 5x = 12x + 2 + -15 Reorder the terms: -6 + 5x = 2 + -15 + 12x Combine like terms: 2 + -15 = -13 -6 + 5x = -13 + 12x Solving -6 + 5x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 5x + -12x = -13 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = -13 + 0 -6 + -7x = -13 Add '6' to each side of the equation. -6 + 6 + -7x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -13 + 6 -7x = -13 + 6 Combine like terms: -13 + 6 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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