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Simplifying 1.3(x + 3) = 0.3(x + 12) Reorder the terms: 1.3(3 + x) = 0.3(x + 12) (3 * 1.3 + x * 1.3) = 0.3(x + 12) (3.9 + 1.3x) = 0.3(x + 12) Reorder the terms: 3.9 + 1.3x = 0.3(12 + x) 3.9 + 1.3x = (12 * 0.3 + x * 0.3) 3.9 + 1.3x = (3.6 + 0.3x) Solving 3.9 + 1.3x = 3.6 + 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. 3.9 + 1.3x + -0.3x = 3.6 + 0.3x + -0.3x Combine like terms: 1.3x + -0.3x = 1x 3.9 + 1x = 3.6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3.9 + 1x = 3.6 + 0.0 3.9 + 1x = 3.6 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 1x = 3.6 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 1x = 3.6 + -3.9 1x = 3.6 + -3.9 Combine like terms: 3.6 + -3.9 = -0.3 1x = -0.3 Divide each side by '1'. x = -0.3 Simplifying x = -0.3
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