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Simplifying -5.2x + -4.3 = 2.6x + 0.9 Reorder the terms: -4.3 + -5.2x = 2.6x + 0.9 Reorder the terms: -4.3 + -5.2x = 0.9 + 2.6x Solving -4.3 + -5.2x = 0.9 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -4.3 + -5.2x + -2.6x = 0.9 + 2.6x + -2.6x Combine like terms: -5.2x + -2.6x = -7.8x -4.3 + -7.8x = 0.9 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -4.3 + -7.8x = 0.9 + 0.0 -4.3 + -7.8x = 0.9 Add '4.3' to each side of the equation. -4.3 + 4.3 + -7.8x = 0.9 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -7.8x = 0.9 + 4.3 -7.8x = 0.9 + 4.3 Combine like terms: 0.9 + 4.3 = 5.2 -7.8x = 5.2 Divide each side by '-7.8'. x = -0.6666666667 Simplifying x = -0.6666666667
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