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Simplifying 0.25x + -0.2(x + -7) = 5x Reorder the terms: 0.25x + -0.2(-7 + x) = 5x 0.25x + (-7 * -0.2 + x * -0.2) = 5x 0.25x + (1.4 + -0.2x) = 5x Reorder the terms: 1.4 + 0.25x + -0.2x = 5x Combine like terms: 0.25x + -0.2x = 0.05x 1.4 + 0.05x = 5x Solving 1.4 + 0.05x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.4 + 0.05x + -5x = 5x + -5x Combine like terms: 0.05x + -5x = -4.95x 1.4 + -4.95x = 5x + -5x Combine like terms: 5x + -5x = 0 1.4 + -4.95x = 0 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -4.95x = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -4.95x = 0 + -1.4 -4.95x = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -4.95x = -1.4 Divide each side by '-4.95'. x = 0.2828282828 Simplifying x = 0.2828282828
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