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Simplifying 2x + -3 = 10 + -3(4x + -5) Reorder the terms: -3 + 2x = 10 + -3(4x + -5) Reorder the terms: -3 + 2x = 10 + -3(-5 + 4x) -3 + 2x = 10 + (-5 * -3 + 4x * -3) -3 + 2x = 10 + (15 + -12x) Combine like terms: 10 + 15 = 25 -3 + 2x = 25 + -12x Solving -3 + 2x = 25 + -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. -3 + 2x + 12x = 25 + -12x + 12x Combine like terms: 2x + 12x = 14x -3 + 14x = 25 + -12x + 12x Combine like terms: -12x + 12x = 0 -3 + 14x = 25 + 0 -3 + 14x = 25 Add '3' to each side of the equation. -3 + 3 + 14x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 25 + 3 14x = 25 + 3 Combine like terms: 25 + 3 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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