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Simplifying 3x + -130 = 52 + -10x Reorder the terms: -130 + 3x = 52 + -10x Solving -130 + 3x = 52 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -130 + 3x + 10x = 52 + -10x + 10x Combine like terms: 3x + 10x = 13x -130 + 13x = 52 + -10x + 10x Combine like terms: -10x + 10x = 0 -130 + 13x = 52 + 0 -130 + 13x = 52 Add '130' to each side of the equation. -130 + 130 + 13x = 52 + 130 Combine like terms: -130 + 130 = 0 0 + 13x = 52 + 130 13x = 52 + 130 Combine like terms: 52 + 130 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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