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Simplifying 3.5x + -1 = 0.50(-7x + 2) Reorder the terms: -1 + 3.5x = 0.50(-7x + 2) Reorder the terms: -1 + 3.5x = 0.50(2 + -7x) -1 + 3.5x = (2 * 0.50 + -7x * 0.50) -1 + 3.5x = (1 + -3.5x) Solving -1 + 3.5x = 1 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -1 + 3.5x + 3.5x = 1 + -3.5x + 3.5x Combine like terms: 3.5x + 3.5x = 7x -1 + 7x = 1 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -1 + 7x = 1 + 0.0 -1 + 7x = 1 Add '1' to each side of the equation. -1 + 1 + 7x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 1 + 1 7x = 1 + 1 Combine like terms: 1 + 1 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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