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Simplifying x + 2.7x + 2.4 = -5.4(x + -5.5) Reorder the terms: 2.4 + x + 2.7x = -5.4(x + -5.5) Combine like terms: x + 2.7x = 3.7x 2.4 + 3.7x = -5.4(x + -5.5) Reorder the terms: 2.4 + 3.7x = -5.4(-5.5 + x) 2.4 + 3.7x = (-5.5 * -5.4 + x * -5.4) 2.4 + 3.7x = (29.7 + -5.4x) Solving 2.4 + 3.7x = 29.7 + -5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4x' to each side of the equation. 2.4 + 3.7x + 5.4x = 29.7 + -5.4x + 5.4x Combine like terms: 3.7x + 5.4x = 9.1x 2.4 + 9.1x = 29.7 + -5.4x + 5.4x Combine like terms: -5.4x + 5.4x = 0.0 2.4 + 9.1x = 29.7 + 0.0 2.4 + 9.1x = 29.7 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 9.1x = 29.7 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 9.1x = 29.7 + -2.4 9.1x = 29.7 + -2.4 Combine like terms: 29.7 + -2.4 = 27.3 9.1x = 27.3 Divide each side by '9.1'. x = 3 Simplifying x = 3
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