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Simplifying 3x + 7 = (0.5) * 7x + 6 Reorder the terms: 7 + 3x = (0.5) * 7x + 6 Multiply 0.5 * 7 7 + 3x = 3.5x + 6 Reorder the terms: 7 + 3x = 6 + 3.5x Solving 7 + 3x = 6 + 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. 7 + 3x + -3.5x = 6 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x 7 + -0.5x = 6 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 7 + -0.5x = 6 + 0.0 7 + -0.5x = 6 Add '-7' to each side of the equation. 7 + -7 + -0.5x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x = 6 + -7 -0.5x = 6 + -7 Combine like terms: 6 + -7 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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