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Simplifying 19 = (-6x + 5) + -2(7 + 3x) Reorder the terms: 19 = (5 + -6x) + -2(7 + 3x) Remove parenthesis around (5 + -6x) 19 = 5 + -6x + -2(7 + 3x) 19 = 5 + -6x + (7 * -2 + 3x * -2) 19 = 5 + -6x + (-14 + -6x) Reorder the terms: 19 = 5 + -14 + -6x + -6x Combine like terms: 5 + -14 = -9 19 = -9 + -6x + -6x Combine like terms: -6x + -6x = -12x 19 = -9 + -12x Solving 19 = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 19 + 12x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 19 + 12x = -9 + 0 19 + 12x = -9 Add '-19' to each side of the equation. 19 + -19 + 12x = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 12x = -9 + -19 12x = -9 + -19 Combine like terms: -9 + -19 = -28 12x = -28 Divide each side by '12'. x = -2.333333333 Simplifying x = -2.333333333
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