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Simplifying 0.3x + 4x + -5 = 8x + -2.6x + 9 + -14 Reorder the terms: -5 + 0.3x + 4x = 8x + -2.6x + 9 + -14 Combine like terms: 0.3x + 4x = 4.3x -5 + 4.3x = 8x + -2.6x + 9 + -14 Reorder the terms: -5 + 4.3x = 9 + -14 + 8x + -2.6x Combine like terms: 9 + -14 = -5 -5 + 4.3x = -5 + 8x + -2.6x Combine like terms: 8x + -2.6x = 5.4x -5 + 4.3x = -5 + 5.4x Add '5' to each side of the equation. -5 + 5 + 4.3x = -5 + 5 + 5.4x Combine like terms: -5 + 5 = 0 0 + 4.3x = -5 + 5 + 5.4x 4.3x = -5 + 5 + 5.4x Combine like terms: -5 + 5 = 0 4.3x = 0 + 5.4x 4.3x = 5.4x Solving 4.3x = 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 4.3x + -5.4x = 5.4x + -5.4x Combine like terms: 4.3x + -5.4x = -1.1x -1.1x = 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 -1.1x = 0.0 Divide each side by '-1.1'. x = 0 Simplifying x = 0
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