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Simplifying (19x + -27) + -1(6x + 12) = 13 Reorder the terms: (-27 + 19x) + -1(6x + 12) = 13 Remove parenthesis around (-27 + 19x) -27 + 19x + -1(6x + 12) = 13 Reorder the terms: -27 + 19x + -1(12 + 6x) = 13 -27 + 19x + (12 * -1 + 6x * -1) = 13 -27 + 19x + (-12 + -6x) = 13 Reorder the terms: -27 + -12 + 19x + -6x = 13 Combine like terms: -27 + -12 = -39 -39 + 19x + -6x = 13 Combine like terms: 19x + -6x = 13x -39 + 13x = 13 Solving -39 + 13x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13x = 13 + 39 Combine like terms: -39 + 39 = 0 0 + 13x = 13 + 39 13x = 13 + 39 Combine like terms: 13 + 39 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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