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Simplifying 0.3x + 4.6 = 0.9x + -0.8 Reorder the terms: 4.6 + 0.3x = 0.9x + -0.8 Reorder the terms: 4.6 + 0.3x = -0.8 + 0.9x Solving 4.6 + 0.3x = -0.8 + 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. 4.6 + 0.3x + -0.9x = -0.8 + 0.9x + -0.9x Combine like terms: 0.3x + -0.9x = -0.6x 4.6 + -0.6x = -0.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 4.6 + -0.6x = -0.8 + 0.0 4.6 + -0.6x = -0.8 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -0.6x = -0.8 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -0.6x = -0.8 + -4.6 -0.6x = -0.8 + -4.6 Combine like terms: -0.8 + -4.6 = -5.4 -0.6x = -5.4 Divide each side by '-0.6'. x = 9 Simplifying x = 9
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