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Simplifying 0.5x + 7 = 3x + -8 Reorder the terms: 7 + 0.5x = 3x + -8 Reorder the terms: 7 + 0.5x = -8 + 3x Solving 7 + 0.5x = -8 + 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. 7 + 0.5x + -3x = -8 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 7 + -2.5x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2.5x = -8 + 0 7 + -2.5x = -8 Add '-7' to each side of the equation. 7 + -7 + -2.5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -2.5x = -8 + -7 -2.5x = -8 + -7 Combine like terms: -8 + -7 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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