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Simplifying (19x + -28) + -1(7x + 35) = 21 Reorder the terms: (-28 + 19x) + -1(7x + 35) = 21 Remove parenthesis around (-28 + 19x) -28 + 19x + -1(7x + 35) = 21 Reorder the terms: -28 + 19x + -1(35 + 7x) = 21 -28 + 19x + (35 * -1 + 7x * -1) = 21 -28 + 19x + (-35 + -7x) = 21 Reorder the terms: -28 + -35 + 19x + -7x = 21 Combine like terms: -28 + -35 = -63 -63 + 19x + -7x = 21 Combine like terms: 19x + -7x = 12x -63 + 12x = 21 Solving -63 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 12x = 21 + 63 Combine like terms: -63 + 63 = 0 0 + 12x = 21 + 63 12x = 21 + 63 Combine like terms: 21 + 63 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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