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Simplifying 5.2x + -4.6 + -7.1x = -0.9x + -4.6 Reorder the terms: -4.6 + 5.2x + -7.1x = -0.9x + -4.6 Combine like terms: 5.2x + -7.1x = -1.9x -4.6 + -1.9x = -0.9x + -4.6 Reorder the terms: -4.6 + -1.9x = -4.6 + -0.9x Add '4.6' to each side of the equation. -4.6 + 4.6 + -1.9x = -4.6 + 4.6 + -0.9x Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -1.9x = -4.6 + 4.6 + -0.9x -1.9x = -4.6 + 4.6 + -0.9x Combine like terms: -4.6 + 4.6 = 0.0 -1.9x = 0.0 + -0.9x -1.9x = -0.9x Solving -1.9x = -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. -1.9x + 0.9x = -0.9x + 0.9x Combine like terms: -1.9x + 0.9x = -1x -1x = -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -1x = 0.0 Divide each side by '-1'. x = 0.0 Simplifying x = 0.0
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