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Simplifying 2x + 4 = 0.5(5x + 7) Reorder the terms: 4 + 2x = 0.5(5x + 7) Reorder the terms: 4 + 2x = 0.5(7 + 5x) 4 + 2x = (7 * 0.5 + 5x * 0.5) 4 + 2x = (3.5 + 2.5x) Solving 4 + 2x = 3.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 4 + 2x + -2.5x = 3.5 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 4 + -0.5x = 3.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 4 + -0.5x = 3.5 + 0.0 4 + -0.5x = 3.5 Add '-4' to each side of the equation. 4 + -4 + -0.5x = 3.5 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5x = 3.5 + -4 -0.5x = 3.5 + -4 Combine like terms: 3.5 + -4 = -0.5 -0.5x = -0.5 Divide each side by '-0.5'. x = 1 Simplifying x = 1
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