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Simplifying 1.2(x + 8.4) = 0.3x Reorder the terms: 1.2(8.4 + x) = 0.3x (8.4 * 1.2 + x * 1.2) = 0.3x (10.08 + 1.2x) = 0.3x Solving 10.08 + 1.2x = 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. 10.08 + 1.2x + -0.3x = 0.3x + -0.3x Combine like terms: 1.2x + -0.3x = 0.9x 10.08 + 0.9x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 10.08 + 0.9x = 0.0 Add '-10.08' to each side of the equation. 10.08 + -10.08 + 0.9x = 0.0 + -10.08 Combine like terms: 10.08 + -10.08 = 0.00 0.00 + 0.9x = 0.0 + -10.08 0.9x = 0.0 + -10.08 Combine like terms: 0.0 + -10.08 = -10.08 0.9x = -10.08 Divide each side by '0.9'. x = -11.2 Simplifying x = -11.2
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