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Simplifying 70 + 0.4x = 40 + 0.6x Solving 70 + 0.4x = 40 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 70 + 0.4x + -0.6x = 40 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 70 + -0.2x = 40 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 70 + -0.2x = 40 + 0.0 70 + -0.2x = 40 Add '-70' to each side of the equation. 70 + -70 + -0.2x = 40 + -70 Combine like terms: 70 + -70 = 0 0 + -0.2x = 40 + -70 -0.2x = 40 + -70 Combine like terms: 40 + -70 = -30 -0.2x = -30 Divide each side by '-0.2'. x = 150 Simplifying x = 150
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