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Simplifying 0.7x + 5 + -1.3x = 46 + -0.3x Reorder the terms: 5 + 0.7x + -1.3x = 46 + -0.3x Combine like terms: 0.7x + -1.3x = -0.6x 5 + -0.6x = 46 + -0.3x Solving 5 + -0.6x = 46 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 5 + -0.6x + 0.3x = 46 + -0.3x + 0.3x Combine like terms: -0.6x + 0.3x = -0.3x 5 + -0.3x = 46 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 5 + -0.3x = 46 + 0.0 5 + -0.3x = 46 Add '-5' to each side of the equation. 5 + -5 + -0.3x = 46 + -5 Combine like terms: 5 + -5 = 0 0 + -0.3x = 46 + -5 -0.3x = 46 + -5 Combine like terms: 46 + -5 = 41 -0.3x = 41 Divide each side by '-0.3'. x = -136.6666667 Simplifying x = -136.6666667
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