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Simplifying 5(29x + -19) = 35(27 + x) Reorder the terms: 5(-19 + 29x) = 35(27 + x) (-19 * 5 + 29x * 5) = 35(27 + x) (-95 + 145x) = 35(27 + x) -95 + 145x = (27 * 35 + x * 35) -95 + 145x = (945 + 35x) Solving -95 + 145x = 945 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -95 + 145x + -35x = 945 + 35x + -35x Combine like terms: 145x + -35x = 110x -95 + 110x = 945 + 35x + -35x Combine like terms: 35x + -35x = 0 -95 + 110x = 945 + 0 -95 + 110x = 945 Add '95' to each side of the equation. -95 + 95 + 110x = 945 + 95 Combine like terms: -95 + 95 = 0 0 + 110x = 945 + 95 110x = 945 + 95 Combine like terms: 945 + 95 = 1040 110x = 1040 Divide each side by '110'. x = 9.454545455 Simplifying x = 9.454545455
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