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Simplifying 0.5(6 + 3x) + -7x = 0 (6 * 0.5 + 3x * 0.5) + -7x = 0 (3 + 1.5x) + -7x = 0 Combine like terms: 1.5x + -7x = -5.5x 3 + -5.5x = 0 Solving 3 + -5.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5.5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5.5x = 0 + -3 -5.5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5.5x = -3 Divide each side by '-5.5'. x = 0.5454545455 Simplifying x = 0.5454545455
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