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Simplifying 5(3 + -2x) = 4 + -1(5 + -1x) (3 * 5 + -2x * 5) = 4 + -1(5 + -1x) (15 + -10x) = 4 + -1(5 + -1x) 15 + -10x = 4 + (5 * -1 + -1x * -1) 15 + -10x = 4 + (-5 + 1x) Combine like terms: 4 + -5 = -1 15 + -10x = -1 + 1x Solving 15 + -10x = -1 + 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. 15 + -10x + -1x = -1 + 1x + -1x Combine like terms: -10x + -1x = -11x 15 + -11x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -11x = -1 + 0 15 + -11x = -1 Add '-15' to each side of the equation. 15 + -15 + -11x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -1 + -15 -11x = -1 + -15 Combine like terms: -1 + -15 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455
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