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Simplifying 1.4x + 3.64 = 2.462 + -0.5x Reorder the terms: 3.64 + 1.4x = 2.462 + -0.5x Solving 3.64 + 1.4x = 2.462 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 3.64 + 1.4x + 0.5x = 2.462 + -0.5x + 0.5x Combine like terms: 1.4x + 0.5x = 1.9x 3.64 + 1.9x = 2.462 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3.64 + 1.9x = 2.462 + 0.0 3.64 + 1.9x = 2.462 Add '-3.64' to each side of the equation. 3.64 + -3.64 + 1.9x = 2.462 + -3.64 Combine like terms: 3.64 + -3.64 = 0.00 0.00 + 1.9x = 2.462 + -3.64 1.9x = 2.462 + -3.64 Combine like terms: 2.462 + -3.64 = -1.178 1.9x = -1.178 Divide each side by '1.9'. x = -0.62 Simplifying x = -0.62
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