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Simplifying 0.5x + 7 = 2x + 4 Reorder the terms: 7 + 0.5x = 2x + 4 Reorder the terms: 7 + 0.5x = 4 + 2x Solving 7 + 0.5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 0.5x + -2x = 4 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 7 + -1.5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1.5x = 4 + 0 7 + -1.5x = 4 Add '-7' to each side of the equation. 7 + -7 + -1.5x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -1.5x = 4 + -7 -1.5x = 4 + -7 Combine like terms: 4 + -7 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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