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Simplifying 2.4(2x + 3) = -0.1(2x + 3) Reorder the terms: 2.4(3 + 2x) = -0.1(2x + 3) (3 * 2.4 + 2x * 2.4) = -0.1(2x + 3) (7.2 + 4.8x) = -0.1(2x + 3) Reorder the terms: 7.2 + 4.8x = -0.1(3 + 2x) 7.2 + 4.8x = (3 * -0.1 + 2x * -0.1) 7.2 + 4.8x = (-0.3 + -0.2x) Solving 7.2 + 4.8x = -0.3 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 7.2 + 4.8x + 0.2x = -0.3 + -0.2x + 0.2x Combine like terms: 4.8x + 0.2x = 5x 7.2 + 5x = -0.3 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 7.2 + 5x = -0.3 + 0.0 7.2 + 5x = -0.3 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 5x = -0.3 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 5x = -0.3 + -7.2 5x = -0.3 + -7.2 Combine like terms: -0.3 + -7.2 = -7.5 5x = -7.5 Divide each side by '5'. x = -1.5 Simplifying x = -1.5
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