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Simplifying 130 + 0.30x = 70 + 0.70x Solving 130 + 0.30x = 70 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 130 + 0.30x + -0.70x = 70 + 0.70x + -0.70x Combine like terms: 0.30x + -0.70x = -0.4x 130 + -0.4x = 70 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 130 + -0.4x = 70 + 0.00 130 + -0.4x = 70 Add '-130' to each side of the equation. 130 + -130 + -0.4x = 70 + -130 Combine like terms: 130 + -130 = 0 0 + -0.4x = 70 + -130 -0.4x = 70 + -130 Combine like terms: 70 + -130 = -60 -0.4x = -60 Divide each side by '-0.4'. x = 150 Simplifying x = 150
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