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Simplifying 0.25x + 7 = 1.3x + -8 Reorder the terms: 7 + 0.25x = 1.3x + -8 Reorder the terms: 7 + 0.25x = -8 + 1.3x Solving 7 + 0.25x = -8 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 7 + 0.25x + -1.3x = -8 + 1.3x + -1.3x Combine like terms: 0.25x + -1.3x = -1.05x 7 + -1.05x = -8 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 7 + -1.05x = -8 + 0.0 7 + -1.05x = -8 Add '-7' to each side of the equation. 7 + -7 + -1.05x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1.05x = -8 + -7 -1.05x = -8 + -7 Combine like terms: -8 + -7 = -15 -1.05x = -15 Divide each side by '-1.05'. x = 14.28571429 Simplifying x = 14.28571429
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