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Simplifying 5(2x + -27) = 3(7x + -34) Reorder the terms: 5(-27 + 2x) = 3(7x + -34) (-27 * 5 + 2x * 5) = 3(7x + -34) (-135 + 10x) = 3(7x + -34) Reorder the terms: -135 + 10x = 3(-34 + 7x) -135 + 10x = (-34 * 3 + 7x * 3) -135 + 10x = (-102 + 21x) Solving -135 + 10x = -102 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -135 + 10x + -21x = -102 + 21x + -21x Combine like terms: 10x + -21x = -11x -135 + -11x = -102 + 21x + -21x Combine like terms: 21x + -21x = 0 -135 + -11x = -102 + 0 -135 + -11x = -102 Add '135' to each side of the equation. -135 + 135 + -11x = -102 + 135 Combine like terms: -135 + 135 = 0 0 + -11x = -102 + 135 -11x = -102 + 135 Combine like terms: -102 + 135 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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