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Simplifying 0.4x + -5 + 0.9x = 15 + 0.8x + -7 Reorder the terms: -5 + 0.4x + 0.9x = 15 + 0.8x + -7 Combine like terms: 0.4x + 0.9x = 1.3x -5 + 1.3x = 15 + 0.8x + -7 Reorder the terms: -5 + 1.3x = 15 + -7 + 0.8x Combine like terms: 15 + -7 = 8 -5 + 1.3x = 8 + 0.8x Solving -5 + 1.3x = 8 + 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. -5 + 1.3x + -0.8x = 8 + 0.8x + -0.8x Combine like terms: 1.3x + -0.8x = 0.5x -5 + 0.5x = 8 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -5 + 0.5x = 8 + 0.0 -5 + 0.5x = 8 Add '5' to each side of the equation. -5 + 5 + 0.5x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5x = 8 + 5 0.5x = 8 + 5 Combine like terms: 8 + 5 = 13 0.5x = 13 Divide each side by '0.5'. x = 26 Simplifying x = 26
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