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Simplifying 8x + 0.4 = 14x + -2.6 Reorder the terms: 0.4 + 8x = 14x + -2.6 Reorder the terms: 0.4 + 8x = -2.6 + 14x Solving 0.4 + 8x = -2.6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 0.4 + 8x + -14x = -2.6 + 14x + -14x Combine like terms: 8x + -14x = -6x 0.4 + -6x = -2.6 + 14x + -14x Combine like terms: 14x + -14x = 0 0.4 + -6x = -2.6 + 0 0.4 + -6x = -2.6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -6x = -2.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -6x = -2.6 + -0.4 -6x = -2.6 + -0.4 Combine like terms: -2.6 + -0.4 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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