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Simplifying 0.7(x + 2) = 0.5(x + 4) Reorder the terms: 0.7(2 + x) = 0.5(x + 4) (2 * 0.7 + x * 0.7) = 0.5(x + 4) (1.4 + 0.7x) = 0.5(x + 4) Reorder the terms: 1.4 + 0.7x = 0.5(4 + x) 1.4 + 0.7x = (4 * 0.5 + x * 0.5) 1.4 + 0.7x = (2 + 0.5x) Solving 1.4 + 0.7x = 2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.4 + 0.7x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 1.4 + 0.2x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.4 + 0.2x = 2 + 0.0 1.4 + 0.2x = 2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.2x = 2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.2x = 2 + -1.4 0.2x = 2 + -1.4 Combine like terms: 2 + -1.4 = 0.6 0.2x = 0.6 Divide each side by '0.2'. x = 3 Simplifying x = 3
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