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Simplifying 1.2x + 1 = 0.4(0.3x + 1) Reorder the terms: 1 + 1.2x = 0.4(0.3x + 1) Reorder the terms: 1 + 1.2x = 0.4(1 + 0.3x) 1 + 1.2x = (1 * 0.4 + 0.3x * 0.4) 1 + 1.2x = (0.4 + 0.12x) Solving 1 + 1.2x = 0.4 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 1 + 1.2x + -0.12x = 0.4 + 0.12x + -0.12x Combine like terms: 1.2x + -0.12x = 1.08x 1 + 1.08x = 0.4 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1 + 1.08x = 0.4 + 0.00 1 + 1.08x = 0.4 Add '-1' to each side of the equation. 1 + -1 + 1.08x = 0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 1.08x = 0.4 + -1 1.08x = 0.4 + -1 Combine like terms: 0.4 + -1 = -0.6 1.08x = -0.6 Divide each side by '1.08'. x = -0.5555555556 Simplifying x = -0.5555555556
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