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Simplifying -19 = (x + 7) + -1(2x + -3x) Reorder the terms: -19 = (7 + x) + -1(2x + -3x) Remove parenthesis around (7 + x) -19 = 7 + x + -1(2x + -3x) Combine like terms: 2x + -3x = -1x -19 = 7 + x + -1(-1x) Remove parenthesis around (-1x) -19 = 7 + x + -1 * -1x Multiply -1 * -1 -19 = 7 + x + 1x Combine like terms: x + 1x = 2x -19 = 7 + 2x Solving -19 = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + -2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -2x = 7 + 0 -19 + -2x = 7 Add '19' to each side of the equation. -19 + 19 + -2x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + -2x = 7 + 19 -2x = 7 + 19 Combine like terms: 7 + 19 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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