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Simplifying 0.4x + 3.7 = 0.9x + -0.3 Reorder the terms: 3.7 + 0.4x = 0.9x + -0.3 Reorder the terms: 3.7 + 0.4x = -0.3 + 0.9x Solving 3.7 + 0.4x = -0.3 + 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. 3.7 + 0.4x + -0.9x = -0.3 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 3.7 + -0.5x = -0.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 3.7 + -0.5x = -0.3 + 0.0 3.7 + -0.5x = -0.3 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -0.5x = -0.3 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -0.5x = -0.3 + -3.7 -0.5x = -0.3 + -3.7 Combine like terms: -0.3 + -3.7 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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