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Simplifying 2.4(x + 5) = 0.4(x + -9) + 0.2 Reorder the terms: 2.4(5 + x) = 0.4(x + -9) + 0.2 (5 * 2.4 + x * 2.4) = 0.4(x + -9) + 0.2 (12 + 2.4x) = 0.4(x + -9) + 0.2 Reorder the terms: 12 + 2.4x = 0.4(-9 + x) + 0.2 12 + 2.4x = (-9 * 0.4 + x * 0.4) + 0.2 12 + 2.4x = (-3.6 + 0.4x) + 0.2 Reorder the terms: 12 + 2.4x = -3.6 + 0.2 + 0.4x Combine like terms: -3.6 + 0.2 = -3.4 12 + 2.4x = -3.4 + 0.4x Solving 12 + 2.4x = -3.4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 12 + 2.4x + -0.4x = -3.4 + 0.4x + -0.4x Combine like terms: 2.4x + -0.4x = 2x 12 + 2x = -3.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 12 + 2x = -3.4 + 0.0 12 + 2x = -3.4 Add '-12' to each side of the equation. 12 + -12 + 2x = -3.4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -3.4 + -12 2x = -3.4 + -12 Combine like terms: -3.4 + -12 = -15.4 2x = -15.4 Divide each side by '2'. x = -7.7 Simplifying x = -7.7
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