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Simplifying 3x + -1 = 0.5(7x + -1) Reorder the terms: -1 + 3x = 0.5(7x + -1) Reorder the terms: -1 + 3x = 0.5(-1 + 7x) -1 + 3x = (-1 * 0.5 + 7x * 0.5) -1 + 3x = (-0.5 + 3.5x) Solving -1 + 3x = -0.5 + 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 + 3x + -3.5x = -0.5 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x -1 + -0.5x = -0.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -1 + -0.5x = -0.5 + 0.0 -1 + -0.5x = -0.5 Add '1' to each side of the equation. -1 + 1 + -0.5x = -0.5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5x = -0.5 + 1 -0.5x = -0.5 + 1 Combine like terms: -0.5 + 1 = 0.5 -0.5x = 0.5 Divide each side by '-0.5'. x = -1 Simplifying x = -1
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