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Simplifying 0.5(4x + 6) + -2 = -9 + -5x Reorder the terms: 0.5(6 + 4x) + -2 = -9 + -5x (6 * 0.5 + 4x * 0.5) + -2 = -9 + -5x (3 + 2x) + -2 = -9 + -5x Reorder the terms: 3 + -2 + 2x = -9 + -5x Combine like terms: 3 + -2 = 1 1 + 2x = -9 + -5x Solving 1 + 2x = -9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 2x + 5x = -9 + -5x + 5x Combine like terms: 2x + 5x = 7x 1 + 7x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 7x = -9 + 0 1 + 7x = -9 Add '-1' to each side of the equation. 1 + -1 + 7x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -9 + -1 7x = -9 + -1 Combine like terms: -9 + -1 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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