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Simplifying 0.7(6 + -5x) = 10 + -1(5x + 6) (6 * 0.7 + -5x * 0.7) = 10 + -1(5x + 6) (4.2 + -3.5x) = 10 + -1(5x + 6) Reorder the terms: 4.2 + -3.5x = 10 + -1(6 + 5x) 4.2 + -3.5x = 10 + (6 * -1 + 5x * -1) 4.2 + -3.5x = 10 + (-6 + -5x) Combine like terms: 10 + -6 = 4 4.2 + -3.5x = 4 + -5x Solving 4.2 + -3.5x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4.2 + -3.5x + 5x = 4 + -5x + 5x Combine like terms: -3.5x + 5x = 1.5x 4.2 + 1.5x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 4.2 + 1.5x = 4 + 0 4.2 + 1.5x = 4 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 1.5x = 4 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 1.5x = 4 + -4.2 1.5x = 4 + -4.2 Combine like terms: 4 + -4.2 = -0.2 1.5x = -0.2 Divide each side by '1.5'. x = -0.1333333333 Simplifying x = -0.1333333333
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