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Simplifying 0.30(24) + 0.5x = 0.10(6 + x) Multiply 0.30 * 24 7.2 + 0.5x = 0.10(6 + x) 7.2 + 0.5x = (6 * 0.10 + x * 0.10) 7.2 + 0.5x = (0.6 + 0.10x) Solving 7.2 + 0.5x = 0.6 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 7.2 + 0.5x + -0.10x = 0.6 + 0.10x + -0.10x Combine like terms: 0.5x + -0.10x = 0.4x 7.2 + 0.4x = 0.6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 7.2 + 0.4x = 0.6 + 0.00 7.2 + 0.4x = 0.6 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 0.4x = 0.6 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 0.4x = 0.6 + -7.2 0.4x = 0.6 + -7.2 Combine like terms: 0.6 + -7.2 = -6.6 0.4x = -6.6 Divide each side by '0.4'. x = -16.5 Simplifying x = -16.5
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