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Simplifying 0.9x + 5 = 1.2x + -3.4 Reorder the terms: 5 + 0.9x = 1.2x + -3.4 Reorder the terms: 5 + 0.9x = -3.4 + 1.2x Solving 5 + 0.9x = -3.4 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 5 + 0.9x + -1.2x = -3.4 + 1.2x + -1.2x Combine like terms: 0.9x + -1.2x = -0.3x 5 + -0.3x = -3.4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 5 + -0.3x = -3.4 + 0.0 5 + -0.3x = -3.4 Add '-5' to each side of the equation. 5 + -5 + -0.3x = -3.4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.3x = -3.4 + -5 -0.3x = -3.4 + -5 Combine like terms: -3.4 + -5 = -8.4 -0.3x = -8.4 Divide each side by '-0.3'. x = 28 Simplifying x = 28
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