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Simplifying 0.9x + 2.64 = -0.5x + 0.64 Reorder the terms: 2.64 + 0.9x = -0.5x + 0.64 Reorder the terms: 2.64 + 0.9x = 0.64 + -0.5x Solving 2.64 + 0.9x = 0.64 + -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. 2.64 + 0.9x + 0.5x = 0.64 + -0.5x + 0.5x Combine like terms: 0.9x + 0.5x = 1.4x 2.64 + 1.4x = 0.64 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2.64 + 1.4x = 0.64 + 0.0 2.64 + 1.4x = 0.64 Add '-2.64' to each side of the equation. 2.64 + -2.64 + 1.4x = 0.64 + -2.64 Combine like terms: 2.64 + -2.64 = 0.00 0.00 + 1.4x = 0.64 + -2.64 1.4x = 0.64 + -2.64 Combine like terms: 0.64 + -2.64 = -2 1.4x = -2 Divide each side by '1.4'. x = -1.428571429 Simplifying x = -1.428571429
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