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Simplifying 2.4(2x + 3) = -0.1(2x + x) Reorder the terms: 2.4(3 + 2x) = -0.1(2x + x) (3 * 2.4 + 2x * 2.4) = -0.1(2x + x) (7.2 + 4.8x) = -0.1(2x + x) Combine like terms: 2x + x = 3x 7.2 + 4.8x = -0.1(3x) Remove parenthesis around (3x) 7.2 + 4.8x = -0.1 * 3x Multiply -0.1 * 3 7.2 + 4.8x = -0.3x Solving 7.2 + 4.8x = -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. 7.2 + 4.8x + 0.3x = -0.3x + 0.3x Combine like terms: 4.8x + 0.3x = 5.1x 7.2 + 5.1x = -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 7.2 + 5.1x = 0.0 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 5.1x = 0.0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 5.1x = 0.0 + -7.2 5.1x = 0.0 + -7.2 Combine like terms: 0.0 + -7.2 = -7.2 5.1x = -7.2 Divide each side by '5.1'. x = -1.411764706 Simplifying x = -1.411764706
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