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Simplifying -0.5x + 3.97 = 0.9x + 0.77 Reorder the terms: 3.97 + -0.5x = 0.9x + 0.77 Reorder the terms: 3.97 + -0.5x = 0.77 + 0.9x Solving 3.97 + -0.5x = 0.77 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 3.97 + -0.5x + -0.9x = 0.77 + 0.9x + -0.9x Combine like terms: -0.5x + -0.9x = -1.4x 3.97 + -1.4x = 0.77 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 3.97 + -1.4x = 0.77 + 0.0 3.97 + -1.4x = 0.77 Add '-3.97' to each side of the equation. 3.97 + -3.97 + -1.4x = 0.77 + -3.97 Combine like terms: 3.97 + -3.97 = 0.00 0.00 + -1.4x = 0.77 + -3.97 -1.4x = 0.77 + -3.97 Combine like terms: 0.77 + -3.97 = -3.2 -1.4x = -3.2 Divide each side by '-1.4'. x = 2.285714286 Simplifying x = 2.285714286
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