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Simplifying 130 + 0.30x = 40 + 0.60x Solving 130 + 0.30x = 40 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 130 + 0.30x + -0.60x = 40 + 0.60x + -0.60x Combine like terms: 0.30x + -0.60x = -0.3x 130 + -0.3x = 40 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 130 + -0.3x = 40 + 0.00 130 + -0.3x = 40 Add '-130' to each side of the equation. 130 + -130 + -0.3x = 40 + -130 Combine like terms: 130 + -130 = 0 0 + -0.3x = 40 + -130 -0.3x = 40 + -130 Combine like terms: 40 + -130 = -90 -0.3x = -90 Divide each side by '-0.3'. x = 300 Simplifying x = 300
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