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Simplifying 1.2x + -0.4 = 0.3(x + 1) Reorder the terms: -0.4 + 1.2x = 0.3(x + 1) Reorder the terms: -0.4 + 1.2x = 0.3(1 + x) -0.4 + 1.2x = (1 * 0.3 + x * 0.3) -0.4 + 1.2x = (0.3 + 0.3x) Solving -0.4 + 1.2x = 0.3 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.4 + 1.2x + -0.3x = 0.3 + 0.3x + -0.3x Combine like terms: 1.2x + -0.3x = 0.9x -0.4 + 0.9x = 0.3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.4 + 0.9x = 0.3 + 0.0 -0.4 + 0.9x = 0.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.9x = 0.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.9x = 0.3 + 0.4 0.9x = 0.3 + 0.4 Combine like terms: 0.3 + 0.4 = 0.7 0.9x = 0.7 Divide each side by '0.9'. x = 0.7777777778 Simplifying x = 0.7777777778
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