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Simplifying 0.07x + 0.5(x + 5) = 0.02x + -7(x) Reorder the terms: 0.07x + 0.5(5 + x) = 0.02x + -7(x) 0.07x + (5 * 0.5 + x * 0.5) = 0.02x + -7(x) 0.07x + (2.5 + 0.5x) = 0.02x + -7(x) Reorder the terms: 2.5 + 0.07x + 0.5x = 0.02x + -7(x) Combine like terms: 0.07x + 0.5x = 0.57x 2.5 + 0.57x = 0.02x + -7(x) Combine like terms: 0.02x + -7x = -6.98x 2.5 + 0.57x = -6.98x Solving 2.5 + 0.57x = -6.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.98x' to each side of the equation. 2.5 + 0.57x + 6.98x = -6.98x + 6.98x Combine like terms: 0.57x + 6.98x = 7.55x 2.5 + 7.55x = -6.98x + 6.98x Combine like terms: -6.98x + 6.98x = 0.00 2.5 + 7.55x = 0.00 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 7.55x = 0.00 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 7.55x = 0.00 + -2.5 7.55x = 0.00 + -2.5 Combine like terms: 0.00 + -2.5 = -2.5 7.55x = -2.5 Divide each side by '7.55'. x = -0.3311258278 Simplifying x = -0.3311258278
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