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Simplifying 0.25x + -4 = 0.05(x + -7) Reorder the terms: -4 + 0.25x = 0.05(x + -7) Reorder the terms: -4 + 0.25x = 0.05(-7 + x) -4 + 0.25x = (-7 * 0.05 + x * 0.05) -4 + 0.25x = (-0.35 + 0.05x) Solving -4 + 0.25x = -0.35 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -4 + 0.25x + -0.05x = -0.35 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -4 + 0.2x = -0.35 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4 + 0.2x = -0.35 + 0.00 -4 + 0.2x = -0.35 Add '4' to each side of the equation. -4 + 4 + 0.2x = -0.35 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = -0.35 + 4 0.2x = -0.35 + 4 Combine like terms: -0.35 + 4 = 3.65 0.2x = 3.65 Divide each side by '0.2'. x = 18.25 Simplifying x = 18.25
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