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Simplifying 130 + 5x = 100 + -7x Solving 130 + 5x = 100 + -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. 130 + 5x + 7x = 100 + -7x + 7x Combine like terms: 5x + 7x = 12x 130 + 12x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 130 + 12x = 100 + 0 130 + 12x = 100 Add '-130' to each side of the equation. 130 + -130 + 12x = 100 + -130 Combine like terms: 130 + -130 = 0 0 + 12x = 100 + -130 12x = 100 + -130 Combine like terms: 100 + -130 = -30 12x = -30 Divide each side by '12'. x = -2.5 Simplifying x = -2.5
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