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Simplifying -2.7x + -4.6 = 0.9x + -1 Reorder the terms: -4.6 + -2.7x = 0.9x + -1 Reorder the terms: -4.6 + -2.7x = -1 + 0.9x Solving -4.6 + -2.7x = -1 + 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. -4.6 + -2.7x + -0.9x = -1 + 0.9x + -0.9x Combine like terms: -2.7x + -0.9x = -3.6x -4.6 + -3.6x = -1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -4.6 + -3.6x = -1 + 0.0 -4.6 + -3.6x = -1 Add '4.6' to each side of the equation. -4.6 + 4.6 + -3.6x = -1 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -3.6x = -1 + 4.6 -3.6x = -1 + 4.6 Combine like terms: -1 + 4.6 = 3.6 -3.6x = 3.6 Divide each side by '-3.6'. x = -1 Simplifying x = -1
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