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Simplifying 0.30(12) + 0.5x = 0.1(24 + x) Multiply 0.30 * 12 3.6 + 0.5x = 0.1(24 + x) 3.6 + 0.5x = (24 * 0.1 + x * 0.1) 3.6 + 0.5x = (2.4 + 0.1x) Solving 3.6 + 0.5x = 2.4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 3.6 + 0.5x + -0.1x = 2.4 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x 3.6 + 0.4x = 2.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 3.6 + 0.4x = 2.4 + 0.0 3.6 + 0.4x = 2.4 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.4x = 2.4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.4x = 2.4 + -3.6 0.4x = 2.4 + -3.6 Combine like terms: 2.4 + -3.6 = -1.2 0.4x = -1.2 Divide each side by '0.4'. x = -3 Simplifying x = -3
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