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Simplifying 0.5(5 + x) + 0.75x = 0.7x (5 * 0.5 + x * 0.5) + 0.75x = 0.7x (2.5 + 0.5x) + 0.75x = 0.7x Combine like terms: 0.5x + 0.75x = 1.25x 2.5 + 1.25x = 0.7x Solving 2.5 + 1.25x = 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 2.5 + 1.25x + -0.7x = 0.7x + -0.7x Combine like terms: 1.25x + -0.7x = 0.55x 2.5 + 0.55x = 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 2.5 + 0.55x = 0.0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.55x = 0.0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.55x = 0.0 + -2.5 0.55x = 0.0 + -2.5 Combine like terms: 0.0 + -2.5 = -2.5 0.55x = -2.5 Divide each side by '0.55'. x = -4.545454545 Simplifying x = -4.545454545
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