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Simplifying x + -1(x + -3) + 2 = 7(2x + 4) + -19 Reorder the terms: x + -1(-3 + x) + 2 = 7(2x + 4) + -19 x + (-3 * -1 + x * -1) + 2 = 7(2x + 4) + -19 x + (3 + -1x) + 2 = 7(2x + 4) + -19 Reorder the terms: 3 + 2 + x + -1x = 7(2x + 4) + -19 Combine like terms: 3 + 2 = 5 5 + x + -1x = 7(2x + 4) + -19 Combine like terms: x + -1x = 0 5 + 0 = 7(2x + 4) + -19 5 = 7(2x + 4) + -19 Reorder the terms: 5 = 7(4 + 2x) + -19 5 = (4 * 7 + 2x * 7) + -19 5 = (28 + 14x) + -19 Reorder the terms: 5 = 28 + -19 + 14x Combine like terms: 28 + -19 = 9 5 = 9 + 14x Solving 5 = 9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + -14x = 9 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -14x = 9 + 0 5 + -14x = 9 Add '-5' to each side of the equation. 5 + -5 + -14x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 9 + -5 -14x = 9 + -5 Combine like terms: 9 + -5 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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