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Simplifying 2(x + -5) + 12x = 25 + -1x + -5 Reorder the terms: 2(-5 + x) + 12x = 25 + -1x + -5 (-5 * 2 + x * 2) + 12x = 25 + -1x + -5 (-10 + 2x) + 12x = 25 + -1x + -5 Combine like terms: 2x + 12x = 14x -10 + 14x = 25 + -1x + -5 Reorder the terms: -10 + 14x = 25 + -5 + -1x Combine like terms: 25 + -5 = 20 -10 + 14x = 20 + -1x Solving -10 + 14x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 14x + x = 20 + -1x + x Combine like terms: 14x + x = 15x -10 + 15x = 20 + -1x + x Combine like terms: -1x + x = 0 -10 + 15x = 20 + 0 -10 + 15x = 20 Add '10' to each side of the equation. -10 + 10 + 15x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = 20 + 10 15x = 20 + 10 Combine like terms: 20 + 10 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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