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Simplifying 10.4 + -1.5x = 3.6x + -40.4 + 10 Reorder the terms: 10.4 + -1.5x = -40.4 + 10 + 3.6x Combine like terms: -40.4 + 10 = -30.4 10.4 + -1.5x = -30.4 + 3.6x Solving 10.4 + -1.5x = -30.4 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 10.4 + -1.5x + -3.6x = -30.4 + 3.6x + -3.6x Combine like terms: -1.5x + -3.6x = -5.1x 10.4 + -5.1x = -30.4 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 10.4 + -5.1x = -30.4 + 0.0 10.4 + -5.1x = -30.4 Add '-10.4' to each side of the equation. 10.4 + -10.4 + -5.1x = -30.4 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + -5.1x = -30.4 + -10.4 -5.1x = -30.4 + -10.4 Combine like terms: -30.4 + -10.4 = -40.8 -5.1x = -40.8 Divide each side by '-5.1'. x = 8 Simplifying x = 8
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