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Simplifying 3.5x + -1 = -0.5(-8x + 2) Reorder the terms: -1 + 3.5x = -0.5(-8x + 2) Reorder the terms: -1 + 3.5x = -0.5(2 + -8x) -1 + 3.5x = (2 * -0.5 + -8x * -0.5) -1 + 3.5x = (-1 + 4x) Add '1' to each side of the equation. -1 + 1 + 3.5x = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + 3.5x = -1 + 1 + 4x 3.5x = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 3.5x = 0 + 4x 3.5x = 4x Solving 3.5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3.5x + -4x = 4x + -4x Combine like terms: 3.5x + -4x = -0.5x -0.5x = 4x + -4x Combine like terms: 4x + -4x = 0 -0.5x = 0 Divide each side by '-0.5'. x = 0 Simplifying x = 0
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