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Simplifying 0.12x + 0.14(6) = 0.5(x + 6) Multiply 0.14 * 6 0.12x + 0.84 = 0.5(x + 6) Reorder the terms: 0.84 + 0.12x = 0.5(x + 6) Reorder the terms: 0.84 + 0.12x = 0.5(6 + x) 0.84 + 0.12x = (6 * 0.5 + x * 0.5) 0.84 + 0.12x = (3 + 0.5x) Solving 0.84 + 0.12x = 3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.84 + 0.12x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 0.12x + -0.5x = -0.38x 0.84 + -0.38x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.84 + -0.38x = 3 + 0.0 0.84 + -0.38x = 3 Add '-0.84' to each side of the equation. 0.84 + -0.84 + -0.38x = 3 + -0.84 Combine like terms: 0.84 + -0.84 = 0.00 0.00 + -0.38x = 3 + -0.84 -0.38x = 3 + -0.84 Combine like terms: 3 + -0.84 = 2.16 -0.38x = 2.16 Divide each side by '-0.38'. x = -5.684210526 Simplifying x = -5.684210526
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