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Simplifying 2.4x + 5 = 1.1x + -7 Reorder the terms: 5 + 2.4x = 1.1x + -7 Reorder the terms: 5 + 2.4x = -7 + 1.1x Solving 5 + 2.4x = -7 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 5 + 2.4x + -1.1x = -7 + 1.1x + -1.1x Combine like terms: 2.4x + -1.1x = 1.3x 5 + 1.3x = -7 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 5 + 1.3x = -7 + 0.0 5 + 1.3x = -7 Add '-5' to each side of the equation. 5 + -5 + 1.3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1.3x = -7 + -5 1.3x = -7 + -5 Combine like terms: -7 + -5 = -12 1.3x = -12 Divide each side by '1.3'. x = -9.230769231 Simplifying x = -9.230769231
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