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Simplifying -10.1x + 1.5 = -50.7 + -1.4x Reorder the terms: 1.5 + -10.1x = -50.7 + -1.4x Solving 1.5 + -10.1x = -50.7 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 1.5 + -10.1x + 1.4x = -50.7 + -1.4x + 1.4x Combine like terms: -10.1x + 1.4x = -8.7x 1.5 + -8.7x = -50.7 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 1.5 + -8.7x = -50.7 + 0.0 1.5 + -8.7x = -50.7 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -8.7x = -50.7 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -8.7x = -50.7 + -1.5 -8.7x = -50.7 + -1.5 Combine like terms: -50.7 + -1.5 = -52.2 -8.7x = -52.2 Divide each side by '-8.7'. x = 6 Simplifying x = 6
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