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Simplifying 0.46(50) + 0.7 = 0.6(50 + x) Multiply 0.46 * 50 23 + 0.7 = 0.6(50 + x) Combine like terms: 23 + 0.7 = 23.7 23.7 = 0.6(50 + x) 23.7 = (50 * 0.6 + x * 0.6) 23.7 = (30 + 0.6x) Solving 23.7 = 30 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 23.7 + -0.6x = 30 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 23.7 + -0.6x = 30 + 0.0 23.7 + -0.6x = 30 Add '-23.7' to each side of the equation. 23.7 + -23.7 + -0.6x = 30 + -23.7 Combine like terms: 23.7 + -23.7 = 0.0 0.0 + -0.6x = 30 + -23.7 -0.6x = 30 + -23.7 Combine like terms: 30 + -23.7 = 6.3 -0.6x = 6.3 Divide each side by '-0.6'. x = -10.5 Simplifying x = -10.5
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