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Simplifying 0.6(0.5x + 12) = 0.5(0.3x + 14) + -3 Reorder the terms: 0.6(12 + 0.5x) = 0.5(0.3x + 14) + -3 (12 * 0.6 + 0.5x * 0.6) = 0.5(0.3x + 14) + -3 (7.2 + 0.3x) = 0.5(0.3x + 14) + -3 Reorder the terms: 7.2 + 0.3x = 0.5(14 + 0.3x) + -3 7.2 + 0.3x = (14 * 0.5 + 0.3x * 0.5) + -3 7.2 + 0.3x = (7 + 0.15x) + -3 Reorder the terms: 7.2 + 0.3x = 7 + -3 + 0.15x Combine like terms: 7 + -3 = 4 7.2 + 0.3x = 4 + 0.15x Solving 7.2 + 0.3x = 4 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 7.2 + 0.3x + -0.15x = 4 + 0.15x + -0.15x Combine like terms: 0.3x + -0.15x = 0.15x 7.2 + 0.15x = 4 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 7.2 + 0.15x = 4 + 0.00 7.2 + 0.15x = 4 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 0.15x = 4 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 0.15x = 4 + -7.2 0.15x = 4 + -7.2 Combine like terms: 4 + -7.2 = -3.2 0.15x = -3.2 Divide each side by '0.15'. x = -21.33333333 Simplifying x = -21.33333333
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