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Simplifying 2.7x + -1.4x + 10 = 3.14x Reorder the terms: 10 + 2.7x + -1.4x = 3.14x Combine like terms: 2.7x + -1.4x = 1.3x 10 + 1.3x = 3.14x Solving 10 + 1.3x = 3.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.14x' to each side of the equation. 10 + 1.3x + -3.14x = 3.14x + -3.14x Combine like terms: 1.3x + -3.14x = -1.84x 10 + -1.84x = 3.14x + -3.14x Combine like terms: 3.14x + -3.14x = 0.00 10 + -1.84x = 0.00 Add '-10' to each side of the equation. 10 + -10 + -1.84x = 0.00 + -10 Combine like terms: 10 + -10 = 0 0 + -1.84x = 0.00 + -10 -1.84x = 0.00 + -10 Combine like terms: 0.00 + -10 = -10 -1.84x = -10 Divide each side by '-1.84'. x = 5.434782609 Simplifying x = 5.434782609
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