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Simplifying 0.4x + 0.6 = 0.9x + -2.9 Reorder the terms: 0.6 + 0.4x = 0.9x + -2.9 Reorder the terms: 0.6 + 0.4x = -2.9 + 0.9x Solving 0.6 + 0.4x = -2.9 + 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. 0.6 + 0.4x + -0.9x = -2.9 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 0.6 + -0.5x = -2.9 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.6 + -0.5x = -2.9 + 0.0 0.6 + -0.5x = -2.9 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.5x = -2.9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.5x = -2.9 + -0.6 -0.5x = -2.9 + -0.6 Combine like terms: -2.9 + -0.6 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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