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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 = -1.5 -0.5x = -1.5 Divide each side by '-0.5'. x = 3 Simplifying x = 3
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