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Simplifying (4x + 28) + -1(9x + -21) = (6x + -6) Reorder the terms: (28 + 4x) + -1(9x + -21) = (6x + -6) Remove parenthesis around (28 + 4x) 28 + 4x + -1(9x + -21) = (6x + -6) Reorder the terms: 28 + 4x + -1(-21 + 9x) = (6x + -6) 28 + 4x + (-21 * -1 + 9x * -1) = (6x + -6) 28 + 4x + (21 + -9x) = (6x + -6) Reorder the terms: 28 + 21 + 4x + -9x = (6x + -6) Combine like terms: 28 + 21 = 49 49 + 4x + -9x = (6x + -6) Combine like terms: 4x + -9x = -5x 49 + -5x = (6x + -6) Reorder the terms: 49 + -5x = (-6 + 6x) Remove parenthesis around (-6 + 6x) 49 + -5x = -6 + 6x Solving 49 + -5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 49 + -5x + -6x = -6 + 6x + -6x Combine like terms: -5x + -6x = -11x 49 + -11x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 49 + -11x = -6 + 0 49 + -11x = -6 Add '-49' to each side of the equation. 49 + -49 + -11x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = -6 + -49 -11x = -6 + -49 Combine like terms: -6 + -49 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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