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Simplifying 6x + 5 = 0.5(x + 6) + -4 Reorder the terms: 5 + 6x = 0.5(x + 6) + -4 Reorder the terms: 5 + 6x = 0.5(6 + x) + -4 5 + 6x = (6 * 0.5 + x * 0.5) + -4 5 + 6x = (3 + 0.5x) + -4 Reorder the terms: 5 + 6x = 3 + -4 + 0.5x Combine like terms: 3 + -4 = -1 5 + 6x = -1 + 0.5x Solving 5 + 6x = -1 + 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. 5 + 6x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 6x + -0.5x = 5.5x 5 + 5.5x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 5.5x = -1 + 0.0 5 + 5.5x = -1 Add '-5' to each side of the equation. 5 + -5 + 5.5x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 5.5x = -1 + -5 5.5x = -1 + -5 Combine like terms: -1 + -5 = -6 5.5x = -6 Divide each side by '5.5'. x = -1.090909091 Simplifying x = -1.090909091
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