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Simplifying 0.3x + 2.9 = 0.8x + -0.6 Reorder the terms: 2.9 + 0.3x = 0.8x + -0.6 Reorder the terms: 2.9 + 0.3x = -0.6 + 0.8x Solving 2.9 + 0.3x = -0.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 2.9 + 0.3x + -0.8x = -0.6 + 0.8x + -0.8x Combine like terms: 0.3x + -0.8x = -0.5x 2.9 + -0.5x = -0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2.9 + -0.5x = -0.6 + 0.0 2.9 + -0.5x = -0.6 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.5x = -0.6 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.5x = -0.6 + -2.9 -0.5x = -0.6 + -2.9 Combine like terms: -0.6 + -2.9 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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