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Simplifying 0.50(4x + 6) + -2 = -5x + 9 Reorder the terms: 0.50(6 + 4x) + -2 = -5x + 9 (6 * 0.50 + 4x * 0.50) + -2 = -5x + 9 (3 + 2x) + -2 = -5x + 9 Reorder the terms: 3 + -2 + 2x = -5x + 9 Combine like terms: 3 + -2 = 1 1 + 2x = -5x + 9 Reorder the terms: 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 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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