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Simplifying -5.7x + 1.2 = -11.4 + -1.5x Reorder the terms: 1.2 + -5.7x = -11.4 + -1.5x Solving 1.2 + -5.7x = -11.4 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 1.2 + -5.7x + 1.5x = -11.4 + -1.5x + 1.5x Combine like terms: -5.7x + 1.5x = -4.2x 1.2 + -4.2x = -11.4 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1.2 + -4.2x = -11.4 + 0.0 1.2 + -4.2x = -11.4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -4.2x = -11.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -4.2x = -11.4 + -1.2 -4.2x = -11.4 + -1.2 Combine like terms: -11.4 + -1.2 = -12.6 -4.2x = -12.6 Divide each side by '-4.2'. x = 3 Simplifying x = 3
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