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Simplifying 0.6x + 1.2 = 0.10(10 + x) Reorder the terms: 1.2 + 0.6x = 0.10(10 + x) 1.2 + 0.6x = (10 * 0.10 + x * 0.10) 1.2 + 0.6x = (1 + 0.10x) Solving 1.2 + 0.6x = 1 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 1.2 + 0.6x + -0.10x = 1 + 0.10x + -0.10x Combine like terms: 0.6x + -0.10x = 0.5x 1.2 + 0.5x = 1 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.2 + 0.5x = 1 + 0.00 1.2 + 0.5x = 1 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.5x = 1 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.5x = 1 + -1.2 0.5x = 1 + -1.2 Combine like terms: 1 + -1.2 = -0.2 0.5x = -0.2 Divide each side by '0.5'. x = -0.4 Simplifying x = -0.4
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