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Simplifying 0.15x + 0.35x + 0.7 = 0.6x + 0.3 Reorder the terms: 0.7 + 0.15x + 0.35x = 0.6x + 0.3 Combine like terms: 0.15x + 0.35x = 0.5x 0.7 + 0.5x = 0.6x + 0.3 Reorder the terms: 0.7 + 0.5x = 0.3 + 0.6x Solving 0.7 + 0.5x = 0.3 + 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. 0.7 + 0.5x + -0.6x = 0.3 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 0.7 + -0.1x = 0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.7 + -0.1x = 0.3 + 0.0 0.7 + -0.1x = 0.3 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.1x = 0.3 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.1x = 0.3 + -0.7 -0.1x = 0.3 + -0.7 Combine like terms: 0.3 + -0.7 = -0.4 -0.1x = -0.4 Divide each side by '-0.1'. x = 4 Simplifying x = 4
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