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Simplifying 5x + 6 + -0.5x = 3x + -7 Reorder the terms: 6 + 5x + -0.5x = 3x + -7 Combine like terms: 5x + -0.5x = 4.5x 6 + 4.5x = 3x + -7 Reorder the terms: 6 + 4.5x = -7 + 3x Solving 6 + 4.5x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 4.5x + -3x = -7 + 3x + -3x Combine like terms: 4.5x + -3x = 1.5x 6 + 1.5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1.5x = -7 + 0 6 + 1.5x = -7 Add '-6' to each side of the equation. 6 + -6 + 1.5x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 1.5x = -7 + -6 1.5x = -7 + -6 Combine like terms: -7 + -6 = -13 1.5x = -13 Divide each side by '1.5'. x = -8.666666667 Simplifying x = -8.666666667
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