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Simplifying 1.25x + -0.7 + 0.42 = 0.25x + 2.7x + -9 Reorder the terms: -0.7 + 0.42 + 1.25x = 0.25x + 2.7x + -9 Combine like terms: -0.7 + 0.42 = -0.28 -0.28 + 1.25x = 0.25x + 2.7x + -9 Reorder the terms: -0.28 + 1.25x = -9 + 0.25x + 2.7x Combine like terms: 0.25x + 2.7x = 2.95x -0.28 + 1.25x = -9 + 2.95x Solving -0.28 + 1.25x = -9 + 2.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.95x' to each side of the equation. -0.28 + 1.25x + -2.95x = -9 + 2.95x + -2.95x Combine like terms: 1.25x + -2.95x = -1.7x -0.28 + -1.7x = -9 + 2.95x + -2.95x Combine like terms: 2.95x + -2.95x = 0.00 -0.28 + -1.7x = -9 + 0.00 -0.28 + -1.7x = -9 Add '0.28' to each side of the equation. -0.28 + 0.28 + -1.7x = -9 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + -1.7x = -9 + 0.28 -1.7x = -9 + 0.28 Combine like terms: -9 + 0.28 = -8.72 -1.7x = -8.72 Divide each side by '-1.7'. x = 5.129411765 Simplifying x = 5.129411765
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