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Simplifying 1.8 + 0.4x = 0.9x + -4.7 Reorder the terms: 1.8 + 0.4x = -4.7 + 0.9x Solving 1.8 + 0.4x = -4.7 + 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. 1.8 + 0.4x + -0.9x = -4.7 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 1.8 + -0.5x = -4.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.8 + -0.5x = -4.7 + 0.0 1.8 + -0.5x = -4.7 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.5x = -4.7 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.5x = -4.7 + -1.8 -0.5x = -4.7 + -1.8 Combine like terms: -4.7 + -1.8 = -6.5 -0.5x = -6.5 Divide each side by '-0.5'. x = 13 Simplifying x = 13
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