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Simplifying 3.5x + -1 = -0.5(7x + 2) Reorder the terms: -1 + 3.5x = -0.5(7x + 2) Reorder the terms: -1 + 3.5x = -0.5(2 + 7x) -1 + 3.5x = (2 * -0.5 + 7x * -0.5) -1 + 3.5x = (-1 + -3.5x) Add '1' to each side of the equation. -1 + 1 + 3.5x = -1 + 1 + -3.5x Combine like terms: -1 + 1 = 0 0 + 3.5x = -1 + 1 + -3.5x 3.5x = -1 + 1 + -3.5x Combine like terms: -1 + 1 = 0 3.5x = 0 + -3.5x 3.5x = -3.5x Solving 3.5x = -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. 3.5x + 3.5x = -3.5x + 3.5x Combine like terms: 3.5x + 3.5x = 7x 7x = -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 7x = 0.0 Divide each side by '7'. x = 0.0 Simplifying x = 0.0
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