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Simplifying 5(2 + -1x) = 7 + -1(4 + -1x) (2 * 5 + -1x * 5) = 7 + -1(4 + -1x) (10 + -5x) = 7 + -1(4 + -1x) 10 + -5x = 7 + (4 * -1 + -1x * -1) 10 + -5x = 7 + (-4 + 1x) Combine like terms: 7 + -4 = 3 10 + -5x = 3 + 1x Solving 10 + -5x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -5x + -1x = 3 + 1x + -1x Combine like terms: -5x + -1x = -6x 10 + -6x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -6x = 3 + 0 10 + -6x = 3 Add '-10' to each side of the equation. 10 + -10 + -6x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 3 + -10 -6x = 3 + -10 Combine like terms: 3 + -10 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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